Question 1160706: Over the last three evenings, Heather received a total of
69
phone calls at the call center. The third evening, she received
3
times as many calls as the second evening. The first evening, she received
6
fewer calls than the second evening. How many phone calls did she receive each evening?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Over the last three evenings, Heather received a total of 69 phone calls at the call center.
let a = no. calls the 1st evening
let b = no. calls the 2nd
let c = no. calls the 3rd
a + b + c = 69
The third evening, she received 3 times as many calls as the second evening.
c = 3b
The first evening, she received 6 fewer calls than the second evening.
a = b-6
:
in the first equation, replace a with (b-6), replace c with 3b
(b-6) + b + 3b = 69
5b - 6 = 69
5b = 69 + 6
b = 75/5
b = 15 calls on the 2nd evening
:
I'll let you find a and c, ensure that they add up to 69
How many phone calls did she receive each evening?
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