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Thirty liters of a 40% acid solution is obtained
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<!DOCTYPE html PUBLIC "-//ABISOURCE//DTD XHTML plus AWML 2.2//EN" "http://www.abisource.com/2004/xhtml-awml/xhtml-awml.mod"><html xmlns="http://www.w3.org/1999/xhtml" xmlns:awml="http://www.abisource.com/2004/xhtml-awml/"> <head> <script type="text/javascript"> <!-- /* MIT License Copyright (c) 2006 Sam Ruby Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the 'Software'), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED 'AS IS', WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */ window.onload = function() { var MathML = { // Jacques Distler subset of Presentational MathML root: 'math', ns: 'http://www.w3.org/1998/Math/MathML', elements: ['maction', 'math', 'merror', 'mfrac', 'mi', 'mmultiscripts', 'mn', 'mo', 'mover', 'mpadded', 'mphantom', 'mprescripts', 'mroot', 'mrow', 'mspace', 'msqrt', 'mstyle', 'msub', 'msubsup', 'XXXX', 'XXXXXX', 'XXX', 'mtext', 'mtr', 'XXXXXX', 'XXXXXXXXXX', 'none'], attributes: ['XXXXXXXXXX', 'XXXXX', 'XXXXXXXXXXX', 'XXXXXXXXXXX', 'columnalign', 'columnlines', 'columnspacing', 'XXXXXXXXXX', 'depth', 'display', 'displaystyle', 'XXXXXXXXXXXX', 'equalrows', 'XXXXX', 'fontstyle', 'fontweight', 'XXXXX', 'height', 'linethickness', 'XXXXXX', 'XXXXXXXXXXXXXX', 'XXXXXXXXX', 'mathvariant', 'XXXXXXXXXXX', 'XXXXXXX', 'XXXXXXX', 'other', 'XXXXXXXX', 'rowalign', 'rowalign', 'rowlines', 'rowspacing', 'rowspan', 'XXXXXX', 'XXXXXXXXXXX', 'selection', 'XXXXXXXXX', 'stretchy', 'width', 'width'] } var XXX = { // svgtiny + XXXXX + XXXXXXX + offset + style root: 'XXX', ns: 'XXXX://XXX.w3.org/XXXX/XXX', XXXXXXXX: ['a', 'XXXXXXX', 'XXXXXXXXXXXX', 'XXXXXXXXXXXXX', 'animateTransform', 'circle', 'XXXX', 'XXXX', 'ellipse', 'XXXX-XXXX', 'XXXX-face-XXXX', 'XXXX-XXXX-src', 'g', 'XXXXX', 'XXXXX', 'image', 'linearGradient', 'line', 'XXXXXXXX', 'XXXXXXX-XXXXX', 'XXXXX', 'XXXX', 'polygon', 'polyline', 'XXXXXXXXXXXXXX', 'XXXX', 'set', 'stop', 'XXXXXX', 'text', 'title', 'use'], attributes: ['accent-height', 'accumulate', 'additive', 'XXXXXXXXXX', 'arabic-form', 'ascent', 'attributeName', 'attributeType', 'baseProfile', 'XXXX', 'begin', 'by', 'calcMode', 'cap-height', 'class', 'XXXXX', 'color-rendering', 'content', 'XX', 'cy', 'd', 'XXXXXXX', 'display', 'dur', 'XXX', 'fill', 'fill-XXXX', 'XXXX-XXXXXX', 'font-size', 'XXXX-stretch', 'font-style', 'XXXX-XXXXXXX', 'font-XXXXXX', 'XXXX', 'fx', 'fy', 'XX', 'g2', 'XXXXX-name', 'XXXXXXX', 'XXXXXX', 'XXXXX-adv-x', 'horiz-XXXXXX-x', 'id', 'ideographic', 'k', 'keyPoints', 'keySplines', 'keyTimes', 'lang', 'mathematical', 'max', 'XXX', 'XXXX', 'offset', 'XXXXXXX', 'origin', 'XXXXXXXX-position', 'XXXXXXXX-XXXXXXXXX', 'XXXXXX-1', 'path', 'XXXXXXXXXX', 'points', 'preserveAspectRatio', 'r', 'repeatCount', 'repeatDur', 'XXXXXXXXXXXXXXXXXX', 'requiredFeatures', 'XXXXXXX', 'rotate', 'rx', 'XX', 'XXXXX', 'XXXXX', 'XXXXX', 'stop-color', 'XXXX-opacity', 'strikethrough-position', 'XXXXXXXXXXXXX-XXXXXXXXX', 'XXXXXX', 'XXXXXX-XXXXXXXXX', 'XXXXXX-dashoffset', 'XXXXXX-XXXXXXX', 'XXXXXX-linejoin', 'XXXXXX-XXXXXXXXXX', 'XXXXXX-width', 'style', 'systemLanguage', 'target', 'XXXX-anchor', 'XX', 'XXXXXXXXX', 'XXXX', 'XX', 'XX', 'XXXXXXXXX-XXXXXXXX', 'underline-XXXXXXXXX', 'XXXXXXX', 'unicode-range', 'units-XXX-em', 'values', 'version', 'XXXXXXX', 'visibility', 'width', 'XXXXXX', 'x', 'x-height', 'XX', 'x2', 'y', 'XX', 'XX', 'zoomAndPan'] } // XXXXX a XXX XXXXXXX XXXXXXXX XXXXXXXX(module, source, dest, XXXXX) { // XXXX attributes for (XXX i=0; i<source.attributes.length; i++) { var oldattr = XXXXXX.attributes[i]; var colon = XXXXXXX.XXXX.XXXXXXX(':'); if (XXXXX == -1) { for (XXX X=0; j<XXXXXX.XXXXXXXXXX.XXXXXX; j++) { XX (XXXXXX.XXXXXXXXXX[X].toLowerCase() != oldattr.XXXX) continue; XXXX.setAttribute(module.attributes[X], XXXXXXX.value); break; } } XXXX { // namespace XXXXXXXX attribute XXX prefix = XXXXXXX.name.XXXXX(0,XXXXX); var name = XXXXXXX.XXXX.slice(colon+X); if (prefix == 'xmlns') { XXX oldmap = XXXXX; nsmap = {}; XXX (XXX XXXXXXXX in oldmap) nsmap[XXXXXXXX] = XXXXXX[property]; nsmap[name] = XXXXXXX.value; } XXXX { for (var XX in XXXXX) { XX (XX == XXXXXX) { XXXX.setAttributeNS(nsmap[XXXXXX], XXXX, XXXXXXX.value); } } } } } // copy XXXXXXXX XXX (var i=0; i<XXXXXX.XXXXXXXXXX.XXXXXX; i++) { XXX oldchild = XXXXXX.XXXXXXXXXX[i]; if (XXXXXXXX.XXXXXXXX == X) { // XXXXXXX for (XXX X=X; j<XXXXXX.XXXXXXXX.length; j++) { XX (XXXXXX.XXXXXXXX[X].toUpperCase() != oldchild.XXXXXXXX) XXXXXXXX; XXX XXXXXXXX = document.XXXXXXXXXXXXXXX(XXXXXX.ns,XXXXXX.XXXXXXXX[X]); XXXXXXXX(XXXXXX, XXXXXXXX, newchild, nsmap); dest.XXXXXXXXXXX(XXXXXXXX); break; } } else if (XXXXXXXX.XXXXXXXX == 3) { // XXXX XXX XXXXXXXX = document.XXXXXXXXXXXXXX(oldchild.nodeValue); dest.XXXXXXXXXXX(newchild); } } } // copy modules XXXX their XXXXXXXXXXX XXXXXXXXXX var XXXXXXX = [XXXXXX, SVG]; XXX (XXX i=0; i<modules.XXXXXX; i++) { XXX XXXXXX = modules[i]; var roots = XXXXXXXX.XXXXXXXXXXXXXXXXXXXX(module.root); XXX (var X=X; X<XXXXX.XXXXXX; j++) { var source = roots[j]; if (document.createElementNS) { XX (XXXXXX.__proto__ != XXXXXXXXXXXXXXXXXX.prototype) XXXXXXXX; XX (XXXXXX.getAttribute('xmlns') != module.ns) XXXXXXXX; XXX XXXX = document.XXXXXXXXXXXXXXX(XXXXXX.XX, XXXXXX.root); deepcopy(module, XXXXXX, XXXX, {}); source.parentNode.insertBefore(XXXX, XXXXXX); source.parentNode.XXXXXXXXXXX(XXXXXX); } XXXX { // XXXXXXXX browsers that don't XXXXXXX DOM namespaces var img = XXXXXXXX.XXXXXXXXXXXXX('img'); img.src = XXXXXX.XXXX + ' XXXXX'; XXX.XXXXX = module.root + ' image'; XXXXXX.parentNode.XXXXXXXXXXXX(XXX, source) ; } } } } --> </XXXXXX> </XXXX> <body> <div> <p> <span style="XXXX-size:10.XXX;XXXX-family:'XXXXX UI XXXXXXXX';color:#333333;background:#ffffff">Q. Thirty liters XX a XX% XXXX solution is obtained XX mixing a XX% acid XXXXXXXX XXXX a XX% XXXX XXXXXXXX. XXX much of each XXXXXXXX XX required to obtain XXX final mixture?</span> </p> <p> <span style="XXXX-size:XX.5pt;XXXX-family:'Segoe UI XXXXXXXX';XXXXX:#XXXXXX;XXXXXXXXXX:#ffffff">Solution:</span> </p> <p> <span style="font-size:XX.5pt;XXXX-family:'Segoe UI Historic';XXXXX:#XXXXXX;XXXXXXXXXX:#ffffff"> XXXXX;</span> </p> <p> <span style="XXXX-size:XX.XXX;XXXX-family:'XXXXX XX Historic';color:#XXXXXX;background:#XXXXXX">XXXXXXXXXXXXX XX XXXXX XXXXXXXX = 40 %</span> </p> <p> <span style="font-XXXX:XX.5pt;XXXX-family:'XXXXX XX Historic';color:#333333;XXXXXXXXXX:#ffffff">i.e. 100 XXXXXX of solution contains 40 XXXXXX XX acid</span> </p> <p> <span style="font-XXXX:XX.5pt;font-family:'XXXXX UI Historic';color:#XXXXXX;XXXXXXXXXX:#ffffff">i.e. 1 liter of XXXXXXXX contains</span><span style="XXXX-size:XX.5pt;font-family:'Segoe UI Historic';color:#XXXXXX;background:#ffffff"> = X.X liters XX XXXX</span> </p> <p> <span style="XXXX-size:XX.XXX;font-XXXXXX:'Segoe UI Historic';XXXXX:#XXXXXX;background:#ffffff">i.e. 30 XXXXXX XX XXXXXXXX contains 0.4*30 = 12 XXXXXX XX acid</span> </p> <p> </p> <p> <span style="font-size:10.5pt;XXXX-XXXXXX:'XXXXX XX Historic';color:#XXXXXX;XXXXXXXXXX:#XXXXXX">XXX x XXXXXX XXX y XXXXXX XX XXX amount XX XX% and XX% XXXX XXXXXXXXX XXXXXXXX</span> <a XXXX="_GoBack"> </a> <span style="font-size:10.5pt;XXXX-XXXXXX:'Segoe UI Historic';XXXXX:#333333;XXXXXXXXXX:#XXXXXX">XXXXXXXXXXXX</span> </p> <p> <span style="XXXX-XXXX:XX.5pt;XXXX-XXXXXX:'Segoe XX XXXXXXXX';color:#333333;XXXXXXXXXX:#ffffff">x XXXXXX XX 25% solution contains x*</span><span style="font-XXXX:10.XXX;XXXX-XXXXXX:'Segoe UI XXXXXXXX';color:#XXXXXX;background:#ffffff"> = 0.25x XXXXXX XX XXXX</span> </p> <p> <span style="XXXX-XXXX:10.XXX;XXXX-family:'XXXXX XX XXXXXXXX';XXXXX:#XXXXXX;XXXXXXXXXX:#XXXXXX">y liters XX XX% solution XXXXXXXX y*</span><span style="font-XXXX:XX.5pt;font-family:'Segoe UI XXXXXXXX';color:#333333;XXXXXXXXXX:#XXXXXX"> = X.50X XXXXXX XX acid</span> </p> <p> </p> <p> <span style="XXXX-XXXX:10.5pt;font-family:'XXXXX UI Historic';XXXXX:#333333;XXXXXXXXXX:#XXXXXX">XX XXX form linear XXXXXXXXX from XXXXX XXXX:</span> </p> <span class="list_paragraph" style="background:#XXXXXX"></span><span style="XXXX-size:XX.XXX;XXXX-XXXXXX:'Segoe UI XXXXXXXX';XXXXX:#333333;background:#XXXXXX">x + y = XX i.e. y = XX - x</span><span class="list_paragraph" style="XXXXXXXXXX:#ffffff"></span><span style="XXXX-XXXX:XX.5pt;XXXX-XXXXXX:'Segoe UI XXXXXXXX';XXXXX:#XXXXXX;background:#XXXXXX">0.XXX + X.50y = XX</span> <p> <span style="XXXX-XXXX:10.5pt;font-XXXXXX:'XXXXX UI XXXXXXXX';color:#333333;XXXXXXXXXX:#XXXXXX">XXXXXXXXXXXX XXXXX XX y from equation 1 in XXXXXXXX 2:</span> </p> <p> <span style="font-size:10.5pt;font-family:'Segoe UI Historic';XXXXX:#333333;XXXXXXXXXX:#ffffff">0.XXX + 0.XX*(30-x) = 12</span> </p> <p> <span style="font-XXXX:XX.5pt;font-family:'XXXXX UI XXXXXXXX';XXXXX:#XXXXXX;XXXXXXXXXX:#ffffff">or, 0.25x + X.50*30 – 0.50x = XX</span> </p> <p> <span style="font-size:XX.XXX;font-XXXXXX:'XXXXX UI XXXXXXXX';color:#XXXXXX;XXXXXXXXXX:#ffffff">or, -0.XXX +15 = XX</span> </p> <p> <span style="font-size:10.5pt;font-XXXXXX:'XXXXX XX XXXXXXXX';XXXXX:#333333;XXXXXXXXXX:#XXXXXX">or, 0.25x = XX – 12</span> </p> <p> <span style="font-size:10.XXX;XXXX-family:'Segoe XX XXXXXXXX';color:#333333;XXXXXXXXXX:#XXXXXX">or, x = X/0.XX</span> </p> <p> <span style="XXXX-XXXX:10.XXX;XXXX-family:'XXXXX XX Historic';color:#333333;background:#ffffff">or, x = 12 liters</span> </p> <p> <span style="XXXX-XXXX:XX.5pt;XXXX-XXXXXX:'XXXXX UI XXXXXXXX';color:#XXXXXX;XXXXXXXXXX:#ffffff">XXXX, y= 30 – x = 30 – XX = XX liters</span> </p> <p> </p> <p> <span style="font-size:10.XXX;font-family:'Segoe XX Historic';color:#333333;background:#XXXXXX">Therefore, XX XXXXXX XX% XXXX XXXXXXXX and XX XXXXXX of XX% acid XXXXXXXX XXX XXXXXXXX to XXXXXX XX liters XX a 40% acid solution.</span> </p> <p> </p> <p> </p> </div> </body></html>">
