Question

Emily went to a toy store that was selling one Nintendo DS game and one Wii game for a total of $70. Emily bought 3 DS games and 2 Wii games and spent $160. What was the price of one Wii game

Answer 1

Cost of the one Wii game is $50 .

Explanation:

Let us assume that the cost of the one Nintendo DS game be x .

Let us assume that the cost of the one Wii game be y .

As given

Emily went to a toy store that was selling one Nintendo DS game and one Wii game for a total of $70.

Than the equation becomes

x + y = 70

Emily bought 3 DS games and 2 Wii games and spent $160.

Than the equation becomes

3x + 2y = 160

Than the two equations are

x + y = 70

3x + 2y = 160

Multiply x + y = 70 by 3 and subtracted form 3x + 2y = 160 .

3x - 3x + 2y - 3y = 160 - 210

- 1y = -50

y = 50

Therefore the cost of the one Wii game is $50 .

Answer 2

To answer the problem above, let x be the cost of each DS game and y for every Wii games. The system of linear equations that best represent the given situations above,
x + y = 70
3x + 2y = 160
The values of x and y are 20 and 50. Therefore, each Wii game costs $50.