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?

900 large boxes were sold, and 750 small boxes.

Step-by-step 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

So

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

This means that

Since

900 large boxes were sold, and 750 small boxes.