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A local Best Buy sells 8 times as many iPods as Sears. The difference between their sales is 490 iPods. How many iPods did each sell?

Respuesta :

Edufirst

Answer:

  • Best Buy sells 560 iPods
  • Sears sells 70 iPods

Explanation:

You may set a system of equations.

1. Name the variables:

  • B= number of iPods sold by Best Buy
  • S = number of iPods sold by Sears

2. Translate every verbal statement into a mathematical expression

a) A local Best Buy sells 8 times as many iPods as Sears.

  • B = 8S

b)  The difference between their sales is 490 iPods.

  • B - S = 490

3. Solve the system of equations

a) Substitute B = 8S into the second equation

  • 8S - S = 490

b) Add like terms

  • 7S = 490

c) Divide both sides by 7

  • S = 70

d) Substitue S = 70 into B = 8S

  • B = 8(70) = 560

Solution:

  • Best Buy sells 560 iPods
  • Sears sells 70 iPods

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