Answer:
The new reading on the gas gauge will be will be 7/12 full
Explanation:
From the question
Reese's car has a 12 gallon gas tank. Right now, his gas gauge reads 1/3 full.
Hence, the quantity of gas in the tank is currently:
12 gallon × 1/3
= 4 gallons
If he buys 3 gallons of gas
Total amount of gas = 4 gallons + 3 gallons
= 7 gallons of gas
The new reading on the gas gauge will be:
4 gallons of gas = 1/3
7 gallons of gas = x
Cross Multiply
4 gallons × x = 7 gallons × 1/3
x = 7 gallons × 1/3/4
x = 7/3 ÷ 4
x = 7/3 × 1/4
x = 7/12
The new reading on the gas gauge will be will be 7/12 full