Question

Apples cost $0.75 per pound and bananas cost $1.05 per pound.

A baker bought a total of 12 pounds of apples and bananas for $10.20.

The system of equations {a+b=120.75a+1.05b=10.20 models this situation, where a is the number of pounds of apples, and b is the number of pounds of bananas.

How many pounds of each did the baker buy?

Answer 1

The baker bought 8 pounds of apples and 4 pounds of bananas.

Explanation:

a+b=12.

0.75a+1.05b=10.20

First, multiply 2 my 10.

75a+105b=1020.

Then multiply 1 by 75.

75a+75b=900.

Then subtract.

75a+105b=1020

75a+75b=900.

75a-75a+105b-75b=1020-900

30b=120

b=4

Substitute into (1)

a+4=12

a=8.

Hope this helps :)