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David is filling five 3/4 quart bottles with a sports drink. His measuring cup only holds 1/4 quart. How many times will David need to fill the measuring cup in order to fill the 5 bottles?

Verified Answer :

Elenenegussie

if the bottles are3/4 quart and he have 5 bottles that means he have tree 1/4 in one bottle then 3*5=15 so he have to fill the measuring cup 15 times.

calculista

Answer:

\(15\ times\)

Step-by-step explanation:

Step 1

Find the total quarts in the five bottles

Multiply \(5\) by \(\frac{3}{4}\)

so

\(5*\frac{3}{4}=\frac{15}{4}\ quarts\)

Step 2

Find the number of cups needed to fill the five bottles

by proportion

\(\frac{1}{(1/4)}\frac{cup}{quarts} =\frac{x}{(15/4)}\frac{cups}{quarts}\\ \\x=\frac{(15/4)}{(1/4)}\\\\x=15\ cups\)

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