SOLUTION: 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 t

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.
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
let the cost of sweet potatoes,apples,and onions be p,a and n respectively
:
9p=6a...eq 1
p=2n....eq 2
a=n+24..eq 3
:
take values of p and a from eq 2 and 3 and plug them into eq 1
:
9(2n)=6(n+24)
:
18n=6n+144
:
12n=144
:
costper pound of onions
:
costper pound of s. potatoes
:
costper pound of apples
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