Mary and Amy had a total of 20 yards of material from which to make costumes. Mary used three times more material to make her costume than Amy used, and 2 yards of material was not used. How many yards of material did Amy use for her costume?

Let x be the amount Amy used
Let 3x be the amount Mary used
Let 20-2 be the total amount used

3x + x = 20-2
4x=18
x=4.5

Amy use 4.5 yards of material.

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oeerivona oeerivona · Answer 2 · 2022-01-04T10:58:28+01:00

The length of material Mary used is the length of material Amy used plus

three times the length of material Amy used.

The length of material Amy used for her costume is 3.6 yards.

Reasons:

The length of material available = 20 yards

Length of material Mary used = 3 × More than Amy

Length of material not used = 2 yards

Required:

The length of material Amy used

Solution:

Let m represent the length of material Amy used, we have;

Three times more = Initial amount + 3 × initial amount

Length of material Mary used = 3 × m + m = 4·m

Total length of material used = m + 4·m = 5·m

Therefore;

5·m + 2 = 20

m = (20 - 2) ÷ 5 = 3.6

Length of material Amy used, m = 3.6 yards

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