A magic carpet is made with three colors of yarn. The ratio of each color in the carpet is shown below: 10 meters gold yarn to 7 meters bronze yarn to 3 meters silver yarn.
If the magic carpet is made with a total of 160 meters of yarn. How much silver yarn is in the magic carpet?

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/160

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.

Step-by-step explanation: