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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?

Sagot :

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:

[tex]15\ times[/tex]

Step-by-step explanation:

Step 1

Find the total quarts in the five bottles

Multiply [tex]5[/tex] by [tex]\frac{3}{4}[/tex]

so

[tex]5*\frac{3}{4}=\frac{15}{4}\ quarts[/tex]

Step 2

Find the number of cups needed to fill the five bottles

by proportion

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

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