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

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.
y2-y1
x2-x1
Set up (-3,5) and (7,-9)
Which will be...
Y2=-9
y1=5
X2=-3
X1=7
Put the y coordinates on top of the x coordinates and subtract...
That;s your answer
keeping in mind that the ratio of the sides is the same as the ratio of the perimeters, Check the picture below.
X^2+13x+42 = (x +7)(x+6)
hope it helps