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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?

Sagot :

chetankachana

Answer:

The Nikes cost $125.

The Adidas cost $100

Step-by-step explanation:

Let :

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

[tex]\left \{ {{3a + 4n = 800} \atop {a + 2n = 350}} \right.[/tex]

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

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