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

wstecznyg5

wstecznyg5

Answered question

2022-07-27

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

Answer & Explanation

Mira Spears

Mira Spears

Beginner2022-07-28Added 14 answers

When there are 24 boxes, let's call the number of matches ineach box 'x'. Then the total number of matches is simply 24x. The problem also tells us that if we place 4 less matches ineach box, then we can fill 28 boxes. Thus, the total numberof matches is also 28(x-4).
Therefore, we can set these two expressions for the totalnumber of matches equal:
24x = 28(x-4).
24x = 28x - 112
112 = 4x
28 = x.
Plugging this value for x into one of our original expressionsfor the total number of matches, we see that there are 24 ×28 or 672matches.

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