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

Algebra ->  Customizable Word Problem Solvers  -> Age -> 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

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) About Me  (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
:
costhighlight%28n=12%29per pound of onions
:
costhighlight%28p=2n=2%2812%29=24%29per pound of s. potatoes
:
costhighlight%28a=n%2B24=12%2B24=36%29per pound of apples