Question

4. You have 36 pairs of running shoes. Let x be the

number of Nikes and y be the number of Adidas shoes
you own. You own twice as many Nikes as Adidas
shoes.
d
Write and solve a linear system of equations to find the
number of each brand of shoes.

Answer 1

• Nikes: 24 pairs
• Adidas: 12 pairs

Explanation:

The system of equations can be written ...

x + y = 36

x = 2y

__

The system can be solve by substituting for x:

(2y) +y = 36

y = 12 . . . . . . divide by 3

x = 2(12) = 24

There are 24 pairs of Nikes and 12 pairs of Adidas.