Let x represent the number of packages Charlie needs to sell to make a monthly income of $5, 000
Since he sells cookies only in packages of 10 then he has to sell 10x to make that income. But Charlie has expenses that has to be deducted from his total sales to make that figure.
So the total expenses is $1, 500 in overhead and an extra $3.50 per material per package. So the total expenses = 1500 + 3.50x
If he has to make $5, 000 at the end of the month we have
10x - (1500 + 3.50x) = 5000
10x - 1500 - 3.50x = 5000
6.50x = 5000 + 1500 = 6500
Solving we find:
x = 1, 000 packages
