Over the last three evenings, Susan received a total of 95 phone calls at the call center. The first evening, she received 5 fewer calls than the third evening. The second evening, she received 3 times as many calls as the third evening. How many phone call did she receive each evening?

Question

Emilia Kidd

Mathematics

13 November, 11:03

Over the last three evenings, Susan received a total of 95 phone calls at the call center. The first evening, she received 5 fewer calls than the third evening. The second evening, she received 3 times as many calls as the third evening. How many phone call did she receive each evening?

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Answers (1)

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Peyton Gilmore · Answer 1

Susan received 15 calls on the first evening, 20 calls on the second evening and 60 calls on the third evening.

Step-by-step explanation:

Step 1: Total calls received = 95 Let the calls received on the third evening be x. Then calls received on the first evening = x - 5 and the calls received on the second evening = 3x. Form an equation to find x.

⇒ x - 5 + 3x + x = 95

⇒ 5x - 5 = 95

⇒ x - 1 = 19

⇒ x = 20

⇒ x - 5 = 15 and 3x = 60