Question

A carpenter needs 36 screws that are 1.5 inches long, 24 screws that are 2 inches long, and 12 screws that are 2.5 inches long.

What is the ratio of the total length of the 2-inch screws to the total length of all the screws? Do not reduce.

Answer 1

48/132

Explanation:

The length of 1.5-inch screws is ...

36 × 1.5 in = 54 in

The length of 2-inch screws is ...

24 × 2 in = 48 in

The length of 2.5-inch screws is ...

12 × 2.5 = 30 in

The total length of all screws is ...

54 in + 48 in + 30 in = 132 in

Then the ratio of 2-in screw length to total screw length is ...

2-in : total = 48 : 132