document.write( "Question 215746: to create a breakfast beverage, cherry juice in two concentrations, 19% and 60%, must be combined into a solution that will be mixed with another type of juice to produce the beverage. if 70 gallons of 19% juice is used, how many gallons of the 60% juice must be used to obtain a 50% cherry juice solution? \n" ); document.write( "

Algebra.Com's Answer #163070 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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two concentrations, 19% and 60%, must be combined into a solution that will be
\n" ); document.write( " mixed with another type of juice to produce the beverage.
\n" ); document.write( "if 70 gallons of 19% juice is used, how many gallons of the 60% juice must be
\n" ); document.write( "used to obtain a 50% cherry juice solution?
\n" ); document.write( ":
\n" ); document.write( "Let x = amt of 60% solution required
\n" ); document.write( ":
\n" ); document.write( ".19(70) + .60x = .50(x+70)
\n" ); document.write( ":
\n" ); document.write( "13.3 + 60x = .50x + 35
\n" ); document.write( ":
\n" ); document.write( ".60x - .50x = 35 - 13.3
\n" ); document.write( ":
\n" ); document.write( ".10x = 21.7
\n" ); document.write( "x = $\"21.7%2F.10\"$
\n" ); document.write( "x = 217 gal of 60% solution required
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\n" ); document.write( ";
\n" ); document.write( "Check:
\n" ); document.write( ".19(70) + .60(217) = .50(217+70)
\n" ); document.write( "13.3 + 130.2 = .50(287)
\n" ); document.write( "143.5 = 143.5 \n" ); document.write( "

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