Question

Over the last three evenings, Teresa received 90 phone calls at the call center. The first evening, she received 6 fewer calls than the second evening. On the third evening, she received 2 times as many calls as the second evening. How many phone calls did she receive each evening?

Answer 1

In order: 18, 24, 48

Explanation:

Let the number on the three evenings be a, b, and c, in order.

a + b + c = 90

a = b - 6

c = 2b

b - 6 + b + 2b = 90

4b - 6 = 90

4b = 96

b = 24

a = b - 6 = 24 - 6 = 18

c = 2b = 2(24) = 48

In order: 18, 24, 48