Question

A total of 1,650 boxes of Girl Scout cookies were sold last week. Each large box cost $3.50 and each small box cost $2.00. The Girl Scout group

earned $4,650. How many large boxes and how many small boxes of cookies were sold?

Answer 1

900 large boxes were sold, and 750 small boxes.

Explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of large boxes of cookies sold.

y is the number of small boxes of cookies sold.

A total of 1,650 boxes of Girl Scout cookies were sold last week.

This means that

`x + y = 1650`

So

`x = 1650 - y`

Each large box cost $3.50 and each small box cost $2.00. The Girl Scout group earned $4,650.

This means that

`3.5x + 2y = 4650`

Since
`x = 1650 - y`

`3.5(1650 - y) + 2y = 4650`

`5775 - 3.5y + 2y = 4650`

`1.5y = 1125`

`y = (1125)/(1.5)`

`y = 750`

`x = 1650 - y = 1650 - 750 = 900`

900 large boxes were sold, and 750 small boxes.