document.write( "Question 193292: Apples cost $0.60 per pound and grapes cost $1.00 per pound. Jenny bought 12 lb of fruit and paid $10.00. How many pounds of each did Jenny buy? \n" ); document.write( "

Algebra.Com's Answer #145166 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Apples cost $0.60 per pound and grapes cost $1.00 per pound.
\n" ); document.write( " Jenny bought 12 lb of fruit and paid $10.00.
\n" ); document.write( " How many pounds of each did Jenny buy?
\n" ); document.write( ":
\n" ); document.write( "Write two equations:
\n" ); document.write( ":
\n" ); document.write( "total fruit (lbs):
\n" ); document.write( "a + g = 12
\n" ); document.write( "or
\n" ); document.write( "g = (12-a); use for substitution
\n" ); document.write( ":
\n" ); document.write( "Total cost
\n" ); document.write( ".60a + 1.00g = 10.00
\n" ); document.write( ":
\n" ); document.write( "Substitute (12-a) for g in the above equation
\n" ); document.write( ".6a + 1(12-a) = 10
\n" ); document.write( ".6a + 12 - a = 10
\n" ); document.write( ".6a - a = 10 - 12
\n" ); document.write( "-.4a = -2
\n" ); document.write( "a = $\"%28-2%29%2F%28-.4%29\"$
\n" ); document.write( "a = 5 lb of apples
\n" ); document.write( "and
\n" ); document.write( "12 - 5 = 7 lb of grapes
\n" ); document.write( ";
\n" ); document.write( ";Check total cost
\n" ); document.write( ".6(5) + 1(7) = 10 \n" ); document.write( "

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