Question

The drama department has set a fundraising goal of $2,200, which students will try to meet or exceed by selling two kinds of popcorn. There are profits of $1 for each container of caramel popcorn sold and $3 for each container of chocolate-covered popcorn sold.

Answer 1

From equation B C D we find that for every increase in sale of 300 containers of A a decrease of 100 containers of B is seen to get the desired profit of $2200.

Explanation:

Let A be the number of container of caramel popcorn and B be the number of container of chocolate-covered popcorn sold.Then the profit would be

$2200= A + 3B--------- A

Suppose we have 100 types of A containers sold then

$2200= $ 100+ 3B--------- B

$2100= 3B

B = $2100/$3= 700 B containers will be sold.

Suppose we have 400 types of A containers sold then

$2200= $ 400+ 3B--------- C

$1 800= 3B

B = $1800/$3= 600 B containers will be sold.

Suppose we have 700 types of A containers sold then

$2200= $ 700+ 3B--------- D

$1 500= 3B

B = $1500/$3= 500 B containers will be sold.

From equation B C D we find that for every increase in sale of 300 containers of A a decrease of 100 containers of B is seen to get the desired profit of $2200.