SOLUTION: Over the last three evenings, Latoya received a total of 145 phone calls at the call center. The third evening, she received 4 times as many calls as the second evening. Th

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Over the last three evenings, Latoya received a total of 145 phone calls at the call center. The third evening, she received 4 times as many calls as the second evening. Th      Log On


   

Question 1108606: Over the last three evenings, Latoya received a total of
145
phone calls at the call center. The third evening, she received
4
times as many calls as the second evening. The first evening, she received
5
fewer calls than the second evening. How many phone calls did she receive each evening?

Found 2 solutions by stanbon, TeachMath:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Over the last three evenings, Latoya received a total of
145 phone calls at the call center. The third evening, she received
4 times as many calls as the second evening. The first evening, she received
5fewer calls than the second evening. How many phone calls did she receive each evening?
-----
F + S + T = 145 calls
T = 4S
F = S-5
------------------------
Substitute for T and for F ; Solve for "S"::
S-5 + S + 4S = 145
6S = 150
S = 26 (# on 2nd evening)
T = 4S = 104 (# on 3rd evening)
F = S-5 = 21 (# of 1st evening)
-----------
Cheers,
Stan H.
----------

Answer by TeachMath(96) About Me  (Show Source):
You can put this solution on YOUR website!
2nd evening: 25 calls
3rd evening: 100 calls
1st evening: 20 calls