Question

Over the last three evenings, Ann received a total of 70 phone calls at the call center. The first evening, she received 6 more calls than the third evening. The second evening, she received 2 times as many calls as the third evening. How many phone calls did she receive each evening? Number of phone calls the first evening: Number of phone calls the second evening: Number of phone calls the third evening: ​

Answer 1

Let x represent the number of calls received on the second evening.

The number of calls received on the first evening is x - 10.

The number of calls received on the third evening is 2x.

The sum of calls received on the three evenings is (x - 10) + x + 2x, and this is equal to 50:

(x - 10) + x + 2x = 50

4x - 10 = 50

4x = 50 + 10

4x = 60

x = 60/4

x = 15

The number of calls received on each evening is then:

First evening: x - 10 = 15 - 10 = 5

Second evening: x = 15

Third evening: 2x = 2(15) = 30

Check: 5 + 15 + 30 = 60