Question

50 POINTS PLEASE HELP!!

Tanya bought 3 games on her phone that each cost the same amount. Tony bought 4 games on his phone that each cost the same amount, but each was $.50 less than the games that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the cost of one of Tanya's games?

(a) Write an expression that shows Tanya's purchased games. (Let x represent the cost of one of Tanya's items.

(b) Write an expression that show Tony's purchased games. (Let x represent the cost of one of Tanya's items.

(c) Write an equation that you can solve to see the cost of each person's games. Let x represent the cost of one of Tanya's games. (Tanya and Tony paid the same amount.)

(d) Solve the equation. Show your work.

(e) What was the cost of one of Tanya's games?

Answer 1

Tanya: $ 2

Tony: $ 1.5

Explanation:

Part a)

Number of games that Tanya bought = 3

Cost of each game that Tanya bought = x

Since, the cost for each game is x, the cost for 3 games would be 3x. So we can write:

Total cost of Tanya's items = 3x

Part b)

Number of games that Tony bought = 4

Each game that tony bought was $0.5 less in cost that what Tanya paid for each game. This means,

Cost of each game that Tony bought = x - 0.5

Since, the cost of each game is (x - 0.5), the cost for 4 games would be 4(x - 5). Thus,

Total cost of Tony's items = 4(x - 0.5)

Part c, d and e)

Since, both Tanya and Tony paid the same amount for their purchases, we can write:

Total cost of Tanya's items = Total cost of Tony's items

Using the values from previous parts, we get:

3x = 4(x - 0.5)

3x = 4x - 2

2 = 4x - 3x

x = 2

Since, x represents the cost of each item that Tanya paid, we can conclude that the cost of each game of Tanya was $ 2 and cost of each game of Tony was $ 1.5