Problema Solution

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?

Answer provided by our tutors

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