Question 1002345: Over the last three evenings, Heather received a total of
109
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
7
more calls than the second evening. How many phone calls did she receive each evening?
Found 2 solutions by fractalier, stanbon:
Answer by fractalier(6550)   (Show Source):
You can put this solution on YOUR website! Let's say the number of calls on the second night was x.
The first evening was then x+7.
The third evening she received 4x calls.
Add them up to make 109 calls...
x + x+7 + 4x = 109
6x + 7 = 109
6x = 102
x = 17 calls
x+7 = 24 calls
4x = 68 calls
Answer by stanbon(75887)  (Show Source):
You can put this solution on YOUR website! Over the last three evenings, Heather received a total of
109
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
7
more calls than the second evening. How many phone calls did she receive each evening?
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Let the # of calls per evening be a,b,c::
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Equations:
a + b + c = 109
c = 4b
a = b + 7
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Substitute for a and c and solve for "b":
b+7 + b + 4b = 109
6b = 102
b = 17 (# of calls on the 2nd evening)
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a = b+7 = 24 (# of calls on the 1st evening)
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c = 4b = 4*17 = 68 (# of calls on the 3rd evening)
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Cheers,
Stan H.
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