Over the last three evenings, Mary received a total of 116 phone calls at the call center. The third evening, she received 3 tim

Question

3 years ago

7

Over the last three evenings, Mary received a total of 116 phone calls at the call center. The third evening, she received 3 tim

es 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?

Mathematics

2 answers:

masya89 [10] · Answer 1 · 2022-08-21T18:14:28+03:00

masya89 [10]3 years ago

6 0

Answer:

1st dia - 25 calls

2nd dia - 16 calls

3rd dia - 75 calls

Step-by-step explanation:

Tanya [424] · Answer 2 · 2022-08-21T16:13:09+03:00

<h2>Answer:</h2>

First day - 25 calls

Second day - 16 calls

Third day - 75 calls

<h2>Step-by-step explanation:</h2>

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