Question

The happy ride amusement park offers the two admission plans described below. A visitor to the park plans to buy tickets for a number of rides . For what number of rides would the total cost of plan x be equal to the total coast of plan y

Plan x: $13.00 admission fee plus $2.00 for each ride ticket
Plan y: &4.00 admission fee plus $3.50 for each ride ticket

Answer 1

To find the number of rides for which the total cost of Plan X is equal to the total cost of Plan Y, set up an equation and solve for x. In this case, the total cost of Plan X would be equal to the total cost of Plan Y for 6 rides.

Step-by-step explanation:

To find the number of rides for which the total cost of Plan X is equal to the total cost of Plan Y, we need to set up an equation.

1. Let's assume the number of rides is represented by x.
2. The total cost of Plan X can be calculated as follows: $13.00 (admission fee) + $2.00 (ride ticket) * x (number of rides).
3. The total cost of Plan Y can be calculated as follows: $4.00 (admission fee) + $3.50 (ride ticket) * x (number of rides).
4. Now, we can set up the equation: $13.00 + $2.00x = $4.00 + $3.50x.
5. To solve for x, we can subtract $2.00x and $4.00 from both sides of the equation: $13.00 - $4.00 = $3.50x - $2.00x.
6. This simplifies to $9.00 = $1.50x.
7. Finally, we can divide both sides of the equation by $1.50 to solve for x: 6 = x.

Therefore, the total cost of Plan X would be equal to the total cost of Plan Y for 6 rides.