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
[tex]x + y = 1650[/tex]
So
[tex]x = 1650 - y[/tex]
Each large box cost $3.50 and each small box cost $2.00. The Girl Scout group earned $4,650.
This means that
[tex]3.5x + 2y = 4650[/tex]
Since [tex]x = 1650 - y[/tex]
[tex]3.5(1650 - y) + 2y = 4650[/tex]
[tex]5775 - 3.5y + 2y = 4650[/tex]
[tex]1.5y = 1125[/tex]
[tex]y = \frac{1125}{1.5}[/tex]
[tex]y = 750[/tex]
[tex]x = 1650 - y = 1650 - 750 = 900[/tex]
900 large boxes were sold, and 750 small boxes.
