SOLUTION: Nine cartons of juice cost the same as 5 fruit cups. Also, one fruit cup costs $.50 more than a bowl of soup, while a bowl of soup costs $.50 more than a carton of juice. What woul

Question 227707: Nine cartons of juice cost the same as 5 fruit cups. Also, one fruit cup costs $.50 more than a bowl of soup, while a bowl of soup costs $.50 more than a carton of juice. What would be the cost of each item: a carton of juice, a fruit cup, and a bowl of soup?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = cost of a carton of juice
Let = cost of a fruit cup
Let = cost of a bowl of soup
given:
(1)
(2) (in cents)
(3) (in cents)
-----------------
Rewrite equations
(1)
(2)
(3)
Add (2) and (3)

Substitute (1) in this equation

and, since
(2)

And
(3)

A carton of juice costs $1.25
A fruit cup costs $2.25
A bowl of soup costs $1.75
check:

OK

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