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rewona [7]
3 years ago
5

1

Mathematics
1 answer:
boyakko [2]3 years ago
5 0

Given:

The first customer paid $17 for 7 small envelopes  and 3 memo pads.

The second customer paid $28.75 for 12 small  envelopes and 5 memo pads.

To find:

The cost in dollars of each memo pad.

Solution:

Let x be the cost of each small envelop and y be the cost of each memo pad.

The first customer paid $17 for 7 small envelopes  and 3 memo pads.

7x+3y=17         ...(i)

The second customer paid $28.75 for 12 small  envelopes and 5 memo pads.

12x+5y=28.75    ...(ii)

Multiply equation (i) by 12 and equation (ii) be 7 to get same coefficient of x.

84x+36y=204         ...(iii)

84x+35y=201.25    ...(iv)

Subtracting (iv) from (iii), we get

84x+36y-84x-35y=204-201.25

y=2.75

Therefore, the cost of each memo pad is $2.75.

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