Question

Cups and Plates: Grace bought 20 cups and plates. The total she spent for the cups and plates was $96. The cost for each cup is $4.50. Each plate cost $1.50 more than a cup. She bought more cups than plates. How many cups and how many plates did she buy?

A) Cups: 14, Plates: 6
B) Cups: 10, Plates: 10
C) Cups: 12, Plates: 8
D) Cups: 16, Plates: 4

Answer 1

Grace bought 12 cups and 4 plates.

Step-by-step explanation:

Let's represent the number of cups as 'c' and the number of plates as 'p'. We are given two pieces of information: the total cost for the cups and plates is $96, and the cost for each cup is $4.50.

We can set up two equations to represent the given information:

4.50c + (4.50 + 1.50)p = 96

c > p

Simplifying the first equation, we get:

6c + 6p = 96

Divide both sides by 6:

c + p = 16

Since we know c > p, we can determine the possible values for c and p:

c = 12 and p = 4

Therefore, she bought 12 cups and 4 plates.