Question

A marching band bought 25 pairs of gloves and 15 pairs of shoes for a total cost of $374.25. Later they bought 14 pairs of gloves and 4 pairs of shoes for a total cost of $117.49. What is the price for one pair of shoes?

Answer 1

20.00 for each pair of shoes

Answer 2

Cost of one pair of shoes is $4.0625 (Approx.)

Given that;

Cost of 25 pair gloves and 15 pair shoes = $374.25

Cost of 14 pair gloves and 4 pair shoes = $117.49

Find:

Cost of one pair of shoes

Computation:

Assume;

Cost of one pair of gloves = a

Cost of one pair of shoes = b

So,

25a + 15b = 374.25 ......... eq1

14a + 4b = 117.49 ......... eq2

eq2 × 3.75

52.5b + 15b = 440.5875 ........ eq3

Eq3 - eq1

a = 2.41

So,

14a + 4b = 117.49

b = $4.0625

Cost of one pair of shoes = $4.0625 (Approx.)

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