Question

Over the last three evenings, Ivanna received a total of 116 phone calls at the call center. The third evening, she received 4 times as many calls as the first

evening. The second evening, she received 10 fewer calls than the first evening. How many phone calls did she receive each evening?

Answer 1

first evening = 21 phone calls

second evening = 11 phone calls

third evening = 84 phone calls

Explanation:

Total phone calls = 116

Let

Number of calls in the first evening = x

The second evening = x - 10

The third evening = 4x

Total phone calls = first evening + second evening + third evening

116 = x + (x - 10) + 4x

116 = x + x - 10 + 4x

116 + 10 = 6x

126 = 6x

x = 126 / 6

x = 21 phone calls

Number of calls in the first evening = x

= 21 phone calls

The second evening = x - 10

= 21 - 10

= 11 phone calls

The third evening = 4x

= 4(21)

= 84 phone calls