document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193648>Question 1193648</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A scientist mixes water (containing no salt) with a solution that contains 55% salt. She wants to obtain 220 ounces of a mixture that is 30% salt. How many ounces of water and how many ounces of the 55% salt solution should she use?\r<BR>\n" );
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document.write( "Water=   Ounces<BR>\n" );
document.write( "Salt Solution=    Ounces </SPAN>\n" );
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document.write( "x = amount of the 55% salt solution, in ounces\r<BR>\n" );
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document.write( "It isn't clear if your teacher is referring to dry ounces or fluid ounces. Though the math will lead to the same result either way.\r<BR>\n" );
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document.write( "If we had x ounces of the 55% salt solution (i.e. 55% salt, the rest water), then we have 0.55x ounces of pure salt.\r<BR>\n" );
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document.write( "We aim to have 220 ounces of total mixture, after adding in the water to dilute things. We want to dilute to a 30% salt concentration.\r<BR>\n" );
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document.write( "So,<BR>\n" );
document.write( "(amount of pure salt)/(total mix) = salt concentration<BR>\n" );
document.write( "(0.55x)/(220) = 0.30\r<BR>\n" );
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document.write( "Multiply both sides by 220, then divide both sides by 0.55 as the steps show below<BR>\n" );
document.write( "(0.55x)/(220) = 0.30<BR>\n" );
document.write( "0.55x = 220*0.30<BR>\n" );
document.write( "0.55x = 66<BR>\n" );
document.write( "x = 66/0.55<BR>\n" );
document.write( "x = 120<BR>\n" );
document.write( "We need 120 ounces of the 55% salt solution<BR>\n" );
document.write( "This leaves 220-x = 220-120 = 100 ounces of pure water\r<BR>\n" );
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document.write( "Answers:<BR>\n" );
document.write( "<font color=red>Water = 100 ounces</font><BR>\n" );
document.write( "<font color=red>Salt solution = 120 ounces</font><BR>\n" );
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