Question

Carson buys two apples and three bananas for $3. Raquel buys four apples and eight bananas for $7.

What is the price of a banana?

Answer 1

apple $0.75 banana $0.50

Explanation:

Let a be the price of an apple

Let b be the price of an banana

2a+3b=3 (1)

4a+8b=7 (2)

(1)*2

4a+6b=6 (3)

(3)-(2)

-2b=-1

b=1/2

substitiude into (1)

2a+1.5=3

2a = 1.5

a = 0.75