Question

Samir and Ben are planning a day trip with their friends. Samir wants to go to a waterpark that charges $40 per person for admission, plus $5 per person for tube rentals. Ben wants to go to a rock-climbing gym that charges $150 to rent the facility, plus an additional $20 per person. Which equation can you use to find p, the number of people who would need to go on the trip for the two options to cost the same?

a) 40p + 5p = 150 + 20p
b) 40p + 5p = 150 + 20
c) 40 + 5 = 150p + 20p
d) 40 = 150p + 20

Answer 1

The correct equation to find the number of people p for which the cost of a waterpark and a rock-climbing gym is the same is 40p + 5p = 150 + 20p.

Step-by-step explanation:

To determine the number of people p for which the cost of going to the waterpark and the rock-climbing gym would be the same, we need to set up an equation where both costs are equal. The waterpark costs $40 per person for admission and $5 per person for tube rentals. Therefore, the total cost for the waterpark would be 40p + 5p. The rock-climbing gym has a flat facility rental fee of $150 and an additional $20 per person. So, the total cost for the rock-climbing gym is 150 + 20p. Setting these two expressions equal to each other, we get: 40p + 5p = 150 + 20p. Solving for p will give us the number of people needed for the costs to be equal.