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### (solution)- A sales clerk is organizing 24 pairs of shoes for a sales display. In what ways can she organize the...

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The Question

A sales clerk is organizing 24 pairs of shoes for a sales display. In what ways can she organize the shoes so that she has the same number of shoes on each shelf, at least 4

pairs of shoes per shelf, and at least 2 shelves of shoes?

#### Solution details

Solution #000697320755

## 2,12), (3,8), (4,6), (6,4)

body preview (72 words)

Set:

m: the xxxxxx xx xxxxxxx (m >x xx xxx

n: the xxxxxx xx shoes xx xxxx shelf xx >= 4).

We xxxxx xxx = xx xx x x xxxx

xxxxx x >x 4 then,

24/m >xx xx 24/4 >= m xx x >= m xxx

xxxxx (1) and xxx xx xxxxx 6>x m >x 2

xxxxxxxxxx

- if x x xx x = 24/2 = xx

x xx m = 3, n x xxxx = 8

x xx m x 4, n = xxxx = 6

x if m = 5, n = 24/5 xxxxxxx xx not a positive xxxxxxx x

- xx m x xx x x 24/6 x 4.

xxxxxxxx (2,12), (3,8), (4,6), (6,4)

This paper was answered on 19-Jul-2017

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Jul 19, 2017

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