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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 :

To find the number of gallons of gasoline the gardener used in his lawn mowers in one month, we can follow these steps:

1. Understand the Problem: We know the gardener used a total of 61.5 gallons of gasoline in one month. We also know that [tex]\(\frac{3}{5}\)[/tex] of this total amount was used for the lawn mowers.

2. Calculate the Gallons Used for Lawn Mowers:
- First, we determine how much of the total gasoline was used in the lawn mowers by calculating [tex]\(\frac{3}{5}\)[/tex] of 61.5 gallons.
- To do this, multiply the total gallons by the fraction used in the lawn mowers:
[tex]\[
61.5 \times \frac{3}{5}
\][/tex]

3. Perform the Multiplication:
- Multiply 61.5 by 3 and then divide the result by 5.

4. Conclusion:
- After calculating, we find that the gardener used 36.9 gallons of gasoline in his lawn mowers.

Therefore, the correct answer is D) 36.9 gallons.

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Rewritten by : Barada