Question

There are 32 sticks in the game. The sticks are either orange (x) and red (y). There are 5 more red sticks than twice the number of orange sticks Write the two equations in order to solve the system and then tell me how many orange and red sticks are in the game.

Answer 1

orange = 9 sticks

Red = 23 sticks

Explanation:

orange = x

Red = y

x + y = 32

There are 5 more red sticks than twice the number of orange sticks

y = 2x + 5

x + y = 32

x + 2x + 5 = 32

3x = 32 - 5

3x = 27

x = 27/3

x = 9 sticks

y = 2x + 5

= 2(9) + 5

= 18 + 5

y = 23 sticks

orange = 9 sticks

Red = 23 sticks