Question

David made 4/6 of a quart of fruit juice. Daniel made ⅔ of a quart of juice. ​Each mug he has holds 1/3 of a quart. ​​ How many mugs will they be able to fill together?

Answer 1

together, they will fill 4 mugs

Explanation:

Given;

a mug holds 1/3 of a quart.

First determine how many mugs to be filled by 4/6 of a quart of fruit juice made by David;

`= ((4)/(6) )/((1)/(3) )\\\\ = (4)/(6)* (3)/(1)\\\\ = 2 \ mugs`

Lastly, determine how many mugs to be filled by ⅔ of a quart of juice made by Daniel;

`= ((2)/(3) )/((1)/(3) )\\\\ = (2)/(3) *(3)/(1)\\\\ = 2 \ mugs`

Therefore, together, they will fill 4 mugs