Question

Daisy has 1/8 tank of gas remaining when she pulls into a gas station. After she puts 15 gallons of gas in her car, the gas gauge reads 3/4 full. How many gallons of gas does Daisy’s tank hold?

*Please Show Work*

Answer 1

24

Explanation:

Let t represent the volume of the tank in gallons. Then we have ...

(1/8)t + 15 = (3/4)t . . . . . . . . . . . adding 15 gallons fills the tank to 3/4

15 = (6/8 -1/8)t = (5/8)t . . . . . . . subtract 1/8t

15(8/5) = (8/5)(5/8)t . . . . . . . . . multiply by 8/5 (the inverse of 5/8)

24 = t

The tank holds 24 gallons.