a mug is 2/7 full. The mug contains 1/3 of a cup of water. Find the capacity of the mug. Write the answer as a fraction or mixed

Question

3 years ago

11

number in simplest form.

1 answer:

Ahat [919] · Answer 1 · 2021-12-03T07:02:32+03:00

Answer:

7/6 cups

Step-by-step explanation:

Given the following information :

Mug is 2/7 full

Amount of water in the mug = 1/3 cup

Assume the full capacity of the mug = m

Then the current capacity of water in mug = (2/7) of m = (2/7)m

Current capacity of water in mug is equivalent to 1/3 cup of water

Hence,

(2/7)m = 1/3

2m/7 = 1/3

Cross multiply

(2m * 3) = 7 * 1

6m = 7

m = 7/6

m = 1 1/6 cups