A magic carpet is made with three different colors of yarn. The ratio of each color is shown below. 10 parts gold yarn, 7 parts bronze yarn, and 3 parts silver yarn. The magic carpet is made with total of 150 meters of yarn. How much silver is in the carpet?

Question

Mathematics

Katrina Liu

15 August, 07:24

A magic carpet is made with three different colors of yarn. The ratio of each color is shown below. 10 parts gold yarn, 7 parts bronze yarn, and 3 parts silver yarn. The magic carpet is made with total of 150 meters of yarn. How much silver is in the carpet?

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Answers (1)

Know the Answer?

Mercedes Guerrero · Answer 1

Answer: 22.5 yards

Step-by-step explanation:

There are a total of 20 parts yarn. This means that 3/20 of the carpet is silver. So in order to compare this to the 150 meters of total yarn, you would set up this equation:

3/20 = x/150

Next, you cross multiply:

3*150 = 20*x or simplified would be 450 = 20x

Next, you divide both sides by 20 to get x by itself.

450/20 = 22.5, so x is equal to 22.5

This means you have 22.5 yards of silver in the carpet.