SOLUTION: 1.a certain number of matches are needed to fill 24 boxes with each boxes containing the same number of matches .when 4 less matches are put in to each box, there are enough for 28

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Question 388265: 1.a certain number of matches are needed to fill 24 boxes with each boxes containing the same number of matches .when 4 less matches are put in to each box, there are enough for 28 boxes. find the total number of matches ?
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi, this previously posted.
Let x and (x-4) represent the number of matches filling 24 amd 28 boxes respectively
Note: the Total number of matches is the same filling the 24 and 28 boxes
24x = 28(x-4)
solving for x
24x = 28x - 112
112 = 4x
28 = x, the number in each of the 24 boxes
24*28 = 672 is the total number of matches
CHECKING our answer
24boxes*28matches/box = 28boxes*24matches/box = 672
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