document.write( "Question 980885: the price of a pound of cherries is $0.30 more than five times the price of a pound of apples. The price of a pound of bananas is $0.10 less than double the price of apples. Joe bought 4 pounds of cherries, 5 pounds of bananas, and 3 pounds of apples, and spent a total of $16.87. Find the price of apples, bananas and cherries. \n" ); document.write( "

Algebra.Com's Answer #602014 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+c+\"$ = the price in cents of a pound of cherries
\n" ); document.write( "Let $\"+a+\"$ = the price in cents of a pound of apples
\n" ); document.write( "Let $\"+b+\"$ = the price in cents of a pound of bananas
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "(1) $\"+c+=+5a+%2B+30+\"$
\n" ); document.write( "(2) $\"+b+=+2a+-+10+\"$
\n" ); document.write( "(3) $\"+4c+%2B+5b+%2B+3a+=+1687+\"$
\n" ); document.write( "-----------------------------
\n" ); document.write( "This is 3 equations and 3 unknowns, so it's solvable
\n" ); document.write( "Substitute (1) and (2) into (3)
\n" ); document.write( "(3) $\"+4%2A%28+5a+%2B+30+%29+%2B+5%2A%28+2a+-+10+%29+%2B+3a+=+1687+\"$
\n" ); document.write( "(3) $\"+20a+%2B+120+%2B+10a+-+50+%2B+3a+=+1687+\"$
\n" ); document.write( "(3) $\"+33a+=+1687+-+120+%2B+50+\"$
\n" ); document.write( "(3) $\"+33a+=+1617+\"$
\n" ); document.write( "(3) $\"+a+=+49+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+c+=+5a+%2B+30+\"$
\n" ); document.write( "(1) $\"+c+=+5%2A49+%2B+30+\"$
\n" ); document.write( "(1) $\"+c+=+245+%2B+30+\"$
\n" ); document.write( "(1) $\"+c+=+275+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+b+=+2a+-+10+\"$
\n" ); document.write( "(2) $\"+b+=+2%2A49+-+10+\"$
\n" ); document.write( "(2) $\"+b+=+98+-+10+\"$
\n" ); document.write( "(2) $\"+b+=+88+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "The price of a pound of cherries is $2.75
\n" ); document.write( "The price of a pound of apples is $.49
\n" ); document.write( "The price of a pound of bananas is $.88
\n" ); document.write( "----------------
\n" ); document.write( "check:
\n" ); document.write( "(3) $\"+4c+%2B+5b+%2B+3a+=+1687+\"$
\n" ); document.write( "(3) $\"+4%2A2.75+%2B+5%2A.88+%2B+3%2A.49+=+16.87+\"$
\n" ); document.write( "(3) $\"+11+%2B+4.4+%2B+1.47+=+16.87+\"$
\n" ); document.write( "(3) $\"+16.87+=+16.87+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );