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Janie and Kayden spent the same amount of money at an arcade. Janie bought a soda for $2.50 and nine game tickets. Kayden bought a pretzel for $5.50 and seven game tickets. Each game ticket costs the same amount. How much does one game ticket cost at the arcade?

Answer :

Answer:

  • The cost of one game ticket = $1.50

Step-by-step explanation:

Let x be the cost of one ticket

9 tickets cost 9x

7 tickets cost 7x

Janie's total cost is therefore
=2.50 + 9x

Kayden's total cost
= 5.50 + 7x

Since both costs are the same,

2.50 + 9x = 5.50 + 7x


Subtract 2.50 from both sides
2.50 - 2.50 + 9x = 5.50 - 2.50 + 7x

Simplify

9x = 3.00 + 7x

Subtract 7x both sides

9x - 7x = 3 .oo+ 7x - 7x

Simplify
2x = 3.00

Divide by 2:

2x/2 = 3.00/2

or

x = $1.50

Therefore the cost of one game ticket = $1.50

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