Question

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

Answer 1

There are 22.5 meters of silver yarn

Explanation:

Gold yarn : bronze yarn : silver yarn

10 : 7 : 3

Gold yarn = 10

bronze yarn = 7

silver yarn = 3

Total ratio = 20

Total meters = 150 meters

How much silver yarn is in the magic carpet?

Quantity of silver yarn in the carpet = silver yarn ratio / Total ratio × total meters of yarn

= 3 / 20 × 150

= 450 / 20

= 22.5 meters

There are 22.5 meters of silver yarn

Bronze yarn = bronze yarn ratio / Total ratio × total meters of yarn

= 7 / 20 × 150

= 1,050 / 20

= 52.5 meters

Bronze yarn = 52.5 meters

Quantity of gold yarn in the carpet = gold yarn ratio / Total ratio × total meters of yarn

= 10 / 20 × 150

= 1500 / 20

= 75 meters

Gold yarn = 75 meters