Question

A certain number of matches are needed to fill 24 boxes, with each box containing the same number of matches. when 4 less matches are put into each box, there are enough for 28 boxes, find the total number of matches
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Answer 1

Answer: 28 matches

Step-by-step explanation:

If there is x in 1 of 24 boxes then total no of matches = 24x

If you take 4 less matches in each then in second situation no of matches will be 28(x-4).

But the no of matches in both cases is the same. So,

24x = 28(x-4)

24x = 28x - 112

112 + 24x = 28x

112 = 28x - 24x =4x

x = 112/4 = 28