Answered

Get comprehensive solutions to your problems with IDNLearn.com. Join our Q&A platform to access reliable and detailed answers from experts in various fields.

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 :

Chetankachanaidn

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

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for choosing IDNLearn.com. We’re here to provide reliable answers, so please visit us again for more solutions.