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

Answer:

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

$x + y = 1650$

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 $x = 1650 - y$

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

$5775 - 3.5y + 2y = 4650$

$1.5y = 1125$

$y = \frac{1125}{1.5}$

$y = 750$

$x = 1650 - y = 1650 - 750 = 900$

900 large boxes were sold, and 750 small boxes.