Question

Terry is making 6 hat and scarf sets. Each scarf set requires 2 yards of material and each hat requires 30 inches of material. Haw many feet of material does he need for all 6 hat and scarf sets.

Answer 1

Terry requires 51 feet of materials for 6 hats and scarf sets.

Explanation:

Given:

Materials required for each scarf set = 2 yard

Material required for each hat = 30 inches

We need to find the material required in feet for 6 hat and scarf sets.

Solution:

First we will find the material required for 1 hat and scarf set in feets.

Now we know that;

1 yard = 3 feet

2 yard =
`3* 2 = 6\ feet`

Materials required for each scarf set = 6 ft

Also We know that;

12 inch = 1 foot

30 inches = Number of foots in 30 inches.

Using unitary method we get;

Number of foots in 30 inches =
`(30)/(12)=2.5\ ft`

Material required for each hat = 2.5 ft

Now Material required to make 1 hat and scarf set =
`6+2.5=8.5\ ft`

Now material required to make 6 hat and scarf set =
`8.5*6 = 51\ ft`

Hence Terry requires 51 feet of materials for 6 hats and scarf sets.