SOLUTION: The number of marbles tht Matthew has is between 15 and 60. If he puts them into bags of 7, there will be 4 marbles left. If he puts them into bags of 8, there will be 5 marbles ex

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Question 1107242: The number of marbles tht Matthew has is between 15 and 60. If he puts them into bags of 7, there will be 4 marbles left. If he puts them into bags of 8, there will be 5 marbles extra. How many marbles does Matthew have?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
N= the number
N-5 is a multiple of 8 and is between and 10 and 55, because
15%3C=N%3C=60 --> 10=15-5%3C=N-5%3C=60-5=55 .
So, N-5 can be 16, 24, 32, 40, or 48.
That means that N-4 must be 17, or 25, or 33, or 41, or 49.
As N-4 must be a multiple of 7, it must be
N-4=49 --> N=49%2B4 --> highlight%28N=53%29 .