Mary rented a boat that cost a [tex]$100 flat fee plus $[/tex]3 for each gallon of gasoline used. If Mary paid a total of $130 to rent the boat, how many gallons of gasoline did she use?

A. 10
B. 15
C. 30
D. 45



Answer :

Certainly! Let's break down the problem step by step.

Mary paid a total amount of [tex]$130 to rent the boat. This total payment includes a flat fee plus the cost for the gasoline she used. 1. Identify the flat fee: - Mary paid a $[/tex]100 flat fee.

2. Determine the total amount paid for gasoline:
- Subtract the flat fee from the total amount paid:
[tex]\[ \text{Total amount paid} - \text{Flat fee} = \text{Amount spent on gasoline} \][/tex]
[tex]\[ 130 - 100 = 30 \][/tex]
- So, Mary spent [tex]$30 on gasoline. 3. Calculate the cost per gallon: - The cost for gasoline is $[/tex]3 per gallon.

4. Calculate the number of gallons used:
- Divide the amount spent on gasoline by the cost per gallon:
[tex]\[ \frac{\text{Amount spent on gasoline}}{\text{Cost per gallon}} = \text{Number of gallons used} \][/tex]
[tex]\[ \frac{30}{3} = 10 \text{ gallons} \][/tex]

Therefore, Mary used 10 gallons of gasoline.

The correct answer is (A) 10.