Question

A carpet is made with a blend of wool and other fibers. If the concentration of wool in the carpet is 75% and the carpet weighs 115 lb, how much wool is in the carpet?

Answer 1

Answer: 86.25 lb

Explanation:

The concentration of wool is 75%, which is equal to
`(75)/(100)` = 0.75. The total weight of the carpet is 115 lb. The number of pounds of wool in the carpet is equal to the concentration of wool in the carpet multiplied by the total weight of the carpet. So, the number of pounds of wool in the carpet is:

• 0.75 × 115 = 86.25 lb.

The carpet contains 86.25 lb of wool. This means that the other fibres in the carpet weigh:

• 115 - 86.25 = 28.75 lb

The other fibres make up
`(28.75)/(115)` = 25% of the carpet. The carpet is made of 75% wool and 25% other fibres.

________________________________________________________

Answer 2

86.25 lb

Explanation:

75/100 of 115 lb

=75/100*115

=86.25lb