Question

a shoe store sells nike amd adidas shoes. joan pays $800 for 3 pairs of adidas shoes and 4 nikes shoes. chris pays $350 for 1 pair of adidas and 2 Pair of nikes shoes. write a system of linear equation that represents this situation. what is the price of one pair of nike?

Answer 1

Answer:

The Nikes cost $125.

The Adidas cost $100

Step-by-step explanation:

Let :

• a = # of adidas shoes
• n = # of nike shoes

$\left \{ {{3a + 4n = 800} \atop {a + 2n = 350}} \right.$

Solve the bottom equation for a:

• a + 2n = 350
• a = 350 - 2n

Now substitute this for a in the top equation:

• 3a + 4n = 800
• 3(350 - 2n) + 4n = 800
• 1050 - 6n + 4n = 800
• 1050 - 2n = 800
• -2n = -250
• n = 125

The Nikes costs $125.

We can also solve for the Adidas:

Use the previous equation we made:

• a = 350 - 2n
• a = 350 - 2(125)
• a = 350 - 250
• a = 100

The Adidas costs $100

-Chetan K