Question

Simon made 2 2/5 quarts of hot chocolate. Each mug holds 2/5 of a quart. How many mugs will Simon be able to fill? Write your answer as a fraction or as a whole or mixed number.

a) 4 4/5 mugs
b) 4 2/5 mugs
c) 5 1/2 mugs
d) 5 4/5 mugs

Answer 1

By converting 2 2/5 quarts to an improper fraction and dividing it by 2/5, it is determined that Simon can fill 6 mugs with the hot chocolate he made. The provided answer choices are not correct.

Step-by-step explanation:

The problem states that Simon made 2 2/5 quarts of hot chocolate and each mug holds 2/5 of a quart. To determine how many mugs Simon can fill, we need to divide the total amount of hot chocolate by the amount each mug can hold.

Firstly, we convert the mixed number of quarts (2 2/5) to an improper fraction:

2 2/5 quarts = (2 × 5 + 2)/5 quarts = 12/5 quarts

Next, to find out how many 2/5 quart mugs we can fill with 12/5 quarts of hot chocolate, we divide:

12/5 ÷ 2/5 = 12/5 × 5/2 = 60/10 = 6 mugs

Therefore, Simon will be able to fill 6 mugs with the hot chocolate he made, which means none of the answer choices provided (a-d) are correct.