Business A garage mechanic purchases oil in a 50- gallon container for changing oil in

customers’ cars. After 35 oil changes requiring 5 qt each, how much oil is left in the 50-
gallon container?

1 answer

To determine how much oil is left after 35 oil changes, we first need to calculate how much oil has been used.

  1. Each oil change requires 5 quarts of oil.

  2. For 35 oil changes, the total amount of oil used is:

    \[ 35 \text{ oil changes} \times 5 \text{ quarts per oil change} = 175 \text{ quarts} \]

Next, we need to convert the total amount of oil that was used from quarts to gallons, since the original quantity of oil is in gallons. There are 4 quarts in a gallon.

  1. To convert quarts to gallons:

    \[ 175 \text{ quarts} \div 4 \text{ quarts per gallon} = 43.75 \text{ gallons} \]

Now, we can calculate how much oil is left in the 50-gallon container after the oil changes.

  1. Subtract the used oil from the total initial amount:

    \[ 50 \text{ gallons} - 43.75 \text{ gallons} = 6.25 \text{ gallons} \]

Thus, after 35 oil changes, there are 6.25 gallons of oil left in the 50-gallon container.