Erin is renting chairs and a tent for a party. She can rent from A-1 Rental or Tonka Tents. A-1 Rental charges $1.33 per chair, plus $64.42 for the tent. Tonka Tents charges $1.58 per chair, plus $60.67 for the tent. How many chairs will Erin need to rent for the cost of the rentals to be the same?

Question

Mathematics

Michael Jennings

13 January, 15:04

Erin is renting chairs and a tent for a party. She can rent from A-1 Rental or Tonka Tents. A-1 Rental charges $1.33 per chair, plus $64.42 for the tent. Tonka Tents charges $1.58 per chair, plus $60.67 for the tent. How many chairs will Erin need to rent for the cost of the rentals to be the same?

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Answers (1)

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Juliana Hicks · Answer 1

Answer: Erin needs to rent 15 chairs

Step-by-step explanation:

Hi, we have to write an equation for each rental's cost.

A-1 Rental charges $1.33 per chair, plus $64.42 for the tent.

Tonka Tents charges $1.58 per chair, plus $60.67 for the tent.

A-1 Rental's Cost = 1.33x+64.42 Tonka Tents Cost = 1.58x+60.67

Where x is the number of chairs.

If both costs are equal:

A-1 Rental's Cost = Tonka Tents Cost

So:

1.33x+64.42 = 1.58x+60.67

Solving for x:

64.42-60.67 = 1.58x-1.33x

3.75 = 0.25x

15 = x