A bus driver filled up 7/8 of her fuel tank for a trip. She used 6/7 of the fuel by the end of the trip. The capacity of her tank is 70 gallons. How much fuel did she use for the trip?
(6/7) * (7/8)*70 = ?
To find out how much fuel the bus driver used for the trip, we need to determine the amount of fuel that corresponds to 6/7 of her fuel tank's capacity.
First, let's calculate the amount of fuel she filled up initially. The bus driver filled up 7/8 of her fuel tank, and the tank's capacity is 70 gallons. To find out how much fuel she filled up, we can multiply the tank's capacity by 7/8:
Fuel filled up = 70 gallons * 7/8
= (70 * 7) / 8
= 490/8 gallons
Next, we find the amount of fuel she used by the end of the trip. She used 6/7 of the fuel tank's capacity. Multiplying the tank's capacity by 6/7 will give us the amount of fuel used:
Fuel used = 70 gallons * 6/7
= (70 * 6) / 7
= 420/7 gallons
Therefore, the bus driver used 420/7 gallons of fuel for the trip, which simplifies to 60 gallons.