Question
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It cost \( \$ 6.50 \) to enter the carnival. Each ride cost \( \$ 2 \). You have \( \$ 20.50 \). Create an equation that can be used to determine r, the number of rides you can go on.

Ask by Cole Griffiths. in the United States
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The equation to determine the number of rides \( r \) is: \[ 6.50 + 2r = 20.50 \] Solving this gives \( r = 7 \) rides.

Solution

To determine the number of rides \( r \) you can go on at the carnival with your budget of \$20.50, you can set up the following equation: \[ \text{Total Cost} = \text{Entry Fee} + (\text{Cost per Ride} \times \text{Number of Rides}) \] Plugging in the given values: \[ 6.50 + 2r = 20.50 \] **Equation:** \[ 6.50 + 2r = 20.50 \] You can solve this equation to find the value of \( r \): \[ 2r = 20.50 - 6.50 \] \[ 2r = 14.00 \] \[ r = \frac{14.00}{2} = 7 \] So, you can go on **7 rides** with your \$20.50.

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Mind Expander

To determine how many rides you can go on, start with the total amount you have, which is \( \$ 20.50 \). Subtract the entry fee of \( \$ 6.50 \) to find out how much money you have left for rides: \( 20.50 - 6.50 = 14.00 \). Each ride costs \( \$ 2 \), so you can represent the total cost of rides as \( 2r \). Therefore, the equation you can use is: \[ 2r = 14.00 \] Or, rearranged: \[ r = \frac{14.00}{2} \] This simplifies to: \[ r = 7 \] So, you can enjoy 7 rides! If you're feeling adventurous at the carnival, remember to budget wisely! You want to take home some cotton candy or maybe even play some games. As you calculate how much each ride costs, keep track of your funds so you don’t miss out on any of the carnival delights afterwards. Balance your thrills and your treats for the ultimate fun day!

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