SOLUTION: 5. A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four lemons and six oranges for $11.16. What is the price of each fruit? thanks.

Question 184486: 5.
A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four lemons and six oranges for $11.16. What is the price of each fruit?
thanks.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the price of oranges be
Let the price of lemons be
given:
(1) (in cents)
(2) (in cents)
First, I will multiply both sides of (1) by
and both sides of (2) by
(1)
(2)
Now subtract (1) from (2)
(2)
(1)
(3)
(3)
Now plug this back into either equation to find
(1)
(1)
(1)
(1)
(1)
The price of oranges is 82 cents each. Thw price of
lemons is $1.56 each
check answers:
(1)
(1)
(1)
(1)
(2)
(2)
(2)
(2)
OK
RELATED QUESTIONS
A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four (answered by checkley71)

A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four (answered by hydromojo)

A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four (answered by checkley77)

A shopper buys 3 oranges and 5 lemons for $10.26. A second shopper buys 6 oranges and 4... (answered by bucky)

Jenny buys three apples and five lemons for $8.50, while a second shopper buys six... (answered by checkley79)

Jenny buys three apples and five lemons for $8.50, while a second shopper buys six... (answered by lynnlo,MathTherapy)

Could any one help me with this system of linear equation as a word problem. Thank you... (answered by Earlsdon)

How do I translate this into equations so I can solve it? Thanks! A shopper buys three (answered by snovember85)

Jenny buys two apples and six lemons for $7.02, while a second shopper buys five... (answered by tanjo3)