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Reptile [31]
3 years ago
7

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?
Business
1 answer:
defon3 years ago
3 0

Answer:

  • <u>Best Buy sells 560 iPods</u>
  • <u>Sears sells 70 iPods</u>

Explanation:

You may set a system of equations.

<u>1. Name the variables: </u>

  • B= <em>number of iPods</em> sold by <em>Best Buy</em>
  • S =<em> number of iPods</em> sold by <em>Sears</em>

<u>2. Translate every verbal statement into a mathematical expression</u>

a) <em>A local Best Buy sells 8 times as many iPods as Sears</em>.

  • B = 8S

b)  <em>The difference between their sales is 490 iPods</em>.

  • B - S = 490

<u>3. Solve the system of equations</u>

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

<u>Solution:</u>

  • Best Buy sells 560 iPods
  • Sears sells 70 iPods
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