Question

Mary pays $38 for 2 pounds of apples, 1 pound of berries, and 4 pounds of cherries. Tom pays $35 for 3 pounds of apples and 2 pounds of berries, and Lee pays $49 for 5 pounds of apples, 3 pounds of berries, and 2 pounds of cherries. What is the price per pound for each type of fruit?

Answer 1

The price of 1 pound of apple = $ 3

The price of 1 pound of berries = $ 8

The price of 1 pound of cherries = $ 5

Explanation:

Let the price of 1 pound of apple be x

The price of 1 pound of berries be y

The price of 1 pound of cherries be z

So,

2 x + y + 4 z = 38 --------------1

3 x + 2 y + 2 z= 35 -------------------2 (Corrected from source)

5 x + 3 y + 2 z = 49 ------------3

Solving the equations, we get that:

x = 3, y = 8, z = 5