Question

Erin is renting chairs and a tent for a party. She can rent from A-1 Rental or Tonka Tents. A-1 Rental charges $1.57 per chair, plus $63.51 for the tent. Tonka Tents charges $1.82 per chair, plus $59.76 for the tent. How many chairs will Erin need to rent for the cost of the rentals to be the same?

Option 1: Erin needs to rent 12 chairs.
Option 2: Erin needs to rent 15 chairs.
Option 3: Erin needs to rent 18 chairs.
Option 4: Erin needs to rent 20 chairs.

Answer 1

Erin needs to rent 15 chairs for the cost of the rentals to be the same.

Step-by-step explanation:

To find the number of chairs Erin needs to rent for the cost of the rentals to be the same, we need to set up an equation.

Let x be the number of chairs Erin needs to rent.

For A-1 Rental, the total cost is 1.57x + 63.51.

For Tonka Tents, the total cost is 1.82x + 59.76.

Setting these two equal to each other:

1.57x + 63.51 = 1.82x + 59.76

Subtracting 1.57x and 59.76 from both sides:

3.75 = 0.25x

Dividing both sides by 0.25:

x = 15

Therefore, Erin needs to rent 15 chairs for the cost of the rentals to be the same.