ACT Math · Ratios, rates, and percents

A swimming pool holds 15,000 gallons of water. If 1 cubic foot equals approximately 7.48 gallons, which value is closest to the pool's…

A swimming pool holds 15,000 gallons of water. If 1 cubic foot equals approximately 7.48 gallons, which value is closest to the pool's volume in cubic feet?

Answer and explanation

Answer: G: 2,005

Each cubic foot holds about 7.487.48 gallons, so the number of cubic feet is the number of gallons divided by 7.487.48: 15,0007.48≈2005\frac{15{,}000}{7.48}\approx2005, choice G. A check by estimation: 15,000÷7.5=200015{,}000\div7.5=2000. Choice J (112,200112{,}200) multiplies by 7.487.48, which would convert in the wrong direction. Choice H (15,00015{,}000) uses the gallons themselves, without conversion. Choice F (1,0001{,}000) divides by about 1515. Since each cubic foot holds more than one gallon, the volume in cubic feet must be less than the volume in gallons.

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