Over the last three evenings, Raina received a total of 83 phone calls at the call center. The first evening, she received 7 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?

Question

Mathematics

Underwood

11 May, 12:29

Over the last three evenings, Raina received a total of 83 phone calls at the call center. The first evening, she received 7 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?

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Answers (1)

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Alvaro Santos · Answer 1

X = 1st evening, y = 2nd evening, z = 3rd evening

x + y + z = 83

x = z + 7

y = 2z

z + 7 + 2z + z = 83

4z + 7 = 83

4z = 83 - 7

4z = 76

z = 76/4

z = 19 < = = = 3rd evening calls

x = z + 7

x = 19 + 7

x = 26 < = = = 1st evening calls

y = 2z

y = 2 (19)

y = 38 < = = = 2nd evening calls