document.write( "Question 174115: nine pounds of sweet potatoes cost the same as 6 pounds of apples. One pound of sweet potatoes cost twice as much as a pound of onions, while a pound of apples cost 24 cents more than a pound of onions. find the cost of each. \n" ); document.write( "

Algebra.Com's Answer #128999 by Mathtut(3670) $\"\"$ $\"About$

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let the cost of sweet potatoes,apples,and onions be p,a and n respectively
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\n" ); document.write( "9p=6a...eq 1
\n" ); document.write( "p=2n....eq 2
\n" ); document.write( "a=n+24..eq 3
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\n" ); document.write( "take values of p and a from eq 2 and 3 and plug them into eq 1
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\n" ); document.write( "9(2n)=6(n+24)
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\n" ); document.write( "18n=6n+144
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\n" ); document.write( "12n=144
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\n" ); document.write( "cost $\"highlight%28n=12%29\"$ per pound of onions
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\n" ); document.write( "cost $\"highlight%28p=2n=2%2812%29=24%29\"$ per pound of s. potatoes
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\n" ); document.write( "cost $\"highlight%28a=n%2B24=12%2B24=36%29\"$ per pound of apples \n" ); document.write( "

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