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

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Edufirst Edufirst · Answer 1 · 2016-08-21T12:56:43+02:00

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.

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calculista calculista · Answer 2 · 2018-09-05T23:20:56+02:00

step [tex] 1 [/tex]

Find the total volume of juice required

Multiply [tex] 35 [/tex] juice-cups by [tex] 12 [/tex] fluid ounces

so

[tex] 35*12=420\ fluid\ onces[/tex]

step [tex] 2 [/tex]

Find the 1-gallon bottles of juice required for [tex] 420 [/tex] ounces

we know that

[tex] 0.25\ gal = 32\ fluid\ ounces[/tex]

by proportion

[tex] \frac{0.25}{32}\frac{gal}{ounces}=\frac{x}{420} \frac{gal}{ounces}[/tex]

[tex] x=\frac{420*0.25}{32}\\\\x=3.28\ gal[/tex]

we know that

The juice comes in 1-gallon bottles

so

[tex] 3.28\ gal [/tex] ------> [tex] 3.28\ bottles [/tex]

round up-------> [tex] 4\ bottles [/tex]

therefore

the answer is

[tex] 4\ bottles [/tex]