Question

The art club is planning a meeting. They are planning to serve cookies and brownie bites and want to have one dessert per person. They expect an attendance of a total of 75 people. Cupcakes (c), come in packs of 6 each, and the brownie bites (b) come in packages of 15. (here is the equation > 6c+15b=75).

Question #1) If the treasurer buys 1 package of brownie bites, how many packages of cupcakes are needed according to this equation? Question #2) If the treasurer buys 7 packages of brownie bites, how many packages of cupcakes are needed according to this equation?

Answer 1

6c+15b=75

1)If the treasurer buys 1 package of brownie bites

6(1)+15b=75

15b=75-6

b=69/15=4.6 ( means the treasure needs to buy 5 packages).

2): If the treasurer buys 7 packages of brownie bites,

6c+15(7)=75

6c+105=75

c=-30/6=-5( you can not buy negative amount)

the treasure does not need to buy, because brownies are enough and more.

Answer 2

see explanation

Explanation:

1) 6c + 15(1) = 75

6c = 60

c = 10 packs of cupcakes

2) 6c + 15(7) = 75

6c + 105 = 75

6c = -30

c = -5, since he bought more brownies than needed, he does not need to buy any cupcakes.