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?

Respuesta :

Answer:

together, they will fill 4 mugs

Step-by-step 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;

[tex]= \frac{\frac{4}{6} }{\frac{1}{3} }\\\\ = \frac{4}{6}* \frac{3}{1}\\\\ = 2 \ mugs[/tex]

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

[tex]= \frac{\frac{2}{3} }{\frac{1}{3} }\\\\ = \frac{2}{3} *\frac{3}{1}\\\\ = 2 \ mugs[/tex]

Therefore, together, they will fill 4 mugs

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