Question

3. A local pizza restaurant has two options for birthday parties; the Premium Plan and the

Basic Plan.
• The Premium Plan charges $20 for a cake and $5 per child for pizza.
The Basic Plan charges $6 per child for pizza and the customer brings their own cake.
If x represents the number of children at the party, which equation represents the
situation when the cost of The Basic Plan will cost the same as The Premium Plan?
O
A. 20x + 5 = 6
O
O
O
B. 25x = 6
C. 20 + 5x = 6x
D. 25x = 6x

Answer 1

Most likely C .

Explanation:

The premium plan charges 20 dollars per cake. (+ 20) and $5 per child (5x) for pizza.

The premium plan would represent:
`5x + 20`

The basic plan would charge $6 per child for pizza.

This would be:
`6x`

In a equation when the cost of the premium plan is the same as the basic plan,
`20 + 5x = 6x` would be the best for modeling.