Over the last three evenings, Mary received a total of 116 phone calls at the call center. The third evening, she received 3 times as many calls as the first evening. The second evening, she received 9 fewer calls than the first evening. How many phone calls did she receive each evening?

Question

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Mathematics

18 April, 09:31

Over the last three evenings, Mary received a total of 116 phone calls at the call center. The third evening, she received 3 times as many calls as the first evening. The second evening, she received 9 fewer calls than the first evening. How many phone calls did she receive each evening?

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Answers (2)

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Morris · Answer 1

1st dia - 25 calls

2nd dia - 16 calls

3rd dia - 75 calls

Davies · Answer 2

First day - 25 calls

Second day - 16 calls

Third day - 75 calls

Step-by-step explanation:

You need to set variables and create system of equations first.

First evening = x

Second evening = y

Third evening = z

x+y+z=116

z=3x

y=x-9

Now you plug in the values into the equation x+y+z=116

x + (x-9) + (3x) = 116

5x-9=116

5x=125

x=25

You plug in the value of x into the other equations.

x = 25

z = 3 * (25) = 75

y = (25-9) = 16

Rearrange so it corresponds with days ...

First day - 25 calls

Second day - 16 calls

Third day - 75 calls