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?

$20

$30

$40

$50

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?

 $20

 $30

 $40

 $50

anonymous · Answer

$20?

anonymous · Answer

Let x denote price of Nintendo Ds game and y denote Wii game

x + y = 70   ---- equation 1
3x + 2y = 160     ---- equation 2

y = 70 - x  ---- equation 3

Plugging y from equation 3 into equation 2

3x + 2 (70 -x) = 160
3x + 140 - 2x = 160
x = 160 - 140
x = 20 
Price of Nintendo Ds game = 20$ and now we find wii game price 

Using x in equation 1 
x + y = 70
Plugging x = 20 we get 
20 + y = 70 
y = 70 - 20 
y = 50 

So the price of Nintendo Wii game is 50$