Two customers went to a post office to buy postcards and large envelopes. Each postcard costs the same amount, and each large envelope costs the same amount. The first customer paid $12 for 14 postcards and 5 large envelopes. The second customer paid $24. 80 for 10 postcards and 15 envelopes. What was the cost in dollars of each large envelope?.

Respuesta :

The cost in dollars of each large envelope is $1.42.

Two equations can be derived from this question:

14p + 5e = 12 equation 1

10p + 15e = 24.80 equation 2

Where:

p = cost of postcards

e = cost of large envelopes

In order to determine the cost of the large envelope, take the following steps:

Multiply equation 1 by 10 and equation 2 by 14

140p + 50e = 120 equation 3

140 p + 210e = 347.20  equation 4

Subtract equation 3 from 4

160e = 227.20

Divide both sides of the equation by 160

e = $1.42

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