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Frank needs to fill juice-cups for his little sister's birthday party. There are 35 juice-cups and each juice-cup holds 12 fluid ounces. The juice comes in 1-gallon bottles. How many 1-gallon bottles of juice will Frank need to purchase?. . (1 quart = 32 fluid ounces, 1 gallon = 4 quarts). . 1 bottle. . 2 bottles. . 3 bottles. . 4 bottles

Verified Answer :

Edufirst

35 juice-cups 12 fl oz / juice-cup 1 qt/32 fl oz * a gallon/ 4 qt = 3.28125 gallons

Then he needs to buy 4 1-gallon bottles.

calculista

step \(1\)

Find the total volume of juice required

Multiply \(35\) juice-cups by \(12\) fluid ounces

so

\(35*12=420\ fluid\ onces\)

step \(2\)

Find the 1-gallon bottles of juice required for \(420\) ounces

we know that

\(0.25\ gal = 32\ fluid\ ounces\)

by proportion

\(\frac{0.25}{32}\frac{gal}{ounces}=\frac{x}{420} \frac{gal}{ounces}\)

\(x=\frac{420*0.25}{32}\\\\x=3.28\ gal\)

we know that

The juice comes in 1-gallon bottles

so

\(3.28\ gal\) ------> \(3.28\ bottles\)

round up-------> \(4\ bottles\)

therefore

the answer is

\(4\ bottles\)

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