Question

Ahmed and Christy are selling boxes of fruit for a Habitat for Humanity fundraiser. Customers can buy small boxes of fruit and large boxes of fruit. Ahmed sold 24 small boxes of fruit and 14 large boxes of fruit for a total of $337.00. Christy sold 21 small boxes of fruit and 16 large boxes of fruit for a total of $353.00. Find the cost of one small box of fruit and the cost of one large box of fruit.

Answer 1

The cost of one small box of fruit is $5.00 and the cost of one large box of fruit is $15.50

Explanation:

Let

x ----> the cost of one small box of fruit

y ----> the cost of one large box of fruit

we know that

Ahmed

Ahmed sold 24 small boxes of fruit and 14 large boxes of fruit for a total of $337.00.

so

`24x+14y=337.00` -----> equation A

Christy

Christy sold 21 small boxes of fruit and 16 large boxes of fruit for a total of $353.00

so

`21x+16y=353.00` ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (5,15.5)

see the attached figure

therefore

The cost of one small box of fruit is $5.00 and the cost of one large box of fruit is $15.50