Question

Dairon needs to make 30 pieces of string 3/8 inch in length. He has already cut a 4 7/8 inch piece of stringinto pieces that are 3/8 of an inch long each. How many more pieces of string does he need?

Answer 1

Answer:

He needs 17 more pieces;

$17\text{ pieces}$

Explanation:

Given that Dairon needs to make 30 pieces of string 3/8 inch in length.

$\frac{3}{8}\text{ inch per piece}$

And He has already cut a 4 7/8 inch piece of string;

$4\frac{7}{8}=\frac{4(8)+7}{8}=\frac{32+7}{8}=\frac{39}{8}\text{ inch}$

The number of pieces that can be cut from the 4 7/8 inch piece is;

$\frac{39}{8}\div\frac{3}{8}=\frac{39}{8}\times\frac{8}{3}=\frac{39}{3}=13\text{ pieces}$

The number of pieces he needs more is;

$n=30-13=17\text{ pieces}$

Therefore, he needs 17 more pieces;

$17\text{ pieces}$