High School

A gardener uses a total of 61.5 gallons of gasoline in one month. Of the total amount of gasoline, [tex]\frac{3}{5}[/tex] was used in his lawn mowers. How many gallons of gasoline did the gardener use in his lawn mowers in one month?

A. 12.3
B. 24.6
C. 26.5
D. 36.9

Answer :

Certainly! To find out how many gallons of gasoline the gardener used in his lawn mowers, we need to follow these steps:

1. Determine the Total Amount of Gasoline: The gardener used 61.5 gallons of gasoline in total over the month.

2. Identify the Fraction Used for Lawn Mowers: We know that [tex]\( \frac{3}{5} \)[/tex] of the total gasoline was used in the lawn mowers.

3. Calculate the Gallons Used in Lawn Mowers: To find the exact amount of gasoline used for the lawn mowers, multiply the total amount of gasoline by the fraction used for the lawn mowers.

[tex]\[
\text{Gallons used in lawn mowers} = 61.5 \times \frac{3}{5}
\][/tex]

4. Perform the Multiplication:

[tex]\[
\text{Gallons used in lawn mowers} = 61.5 \times 0.6
\][/tex]

[tex]\[
\text{Gallons used in lawn mowers} = 36.9
\][/tex]

So, the gardener used 36.9 gallons of gasoline in his lawn mowers for that month. Therefore, the correct answer is d.) 36.9.

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