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 Tanyas games

(a) Write an expression that shows Tanyas 's purchased games

(b) Write an expression that shows Tony's Purchased games

(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 Tanyas Games

(d)solve the equation. Show your Work

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

Respuesta :

Answer:

A.)3x  

B.) 4(x-0.5)  

C.)3x=4(x-0.5)

D.)x=2 Tanya bought 2$ games

E.)  Tony bought $1.5 games

Step-by-step explanation:

A.) She has 3 games that cost the same amount so the cost is 3x

B.) He has 4 games that all cost .5 less then her but they also are the same amount as his other games.           So each of her games is subtracted by .5 then multiplied by 4. So the cost is 4(x-0.5)

C.) the two peoples games cost the same amount as the others so use those two original equations and put an equal sign   3x=4(x-0.5)

D.)

  • first distribute                         3x=4(x-0.5)
  • then simplify the variables     3x=4x-2
  • then divide                              -1x=-2

-2/-1=2                                       x=2

E.)

To find his you have to input this into the equation

4(x-0.5)     4(2-0.5)       4(1.5) so his cost of each game is $1.5