Answered

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1. Alto and Sheryl both worked hard over the summer. Together they earned a total of $500. Sheryl earned $100 more
than Alto.
(a) Write a system of equations for the situation. Use s for the amount Sheryl earned and a for the amount Alto
earned.

Sagot :

sqdancefan

Answer:

  • s + a = 500
  • s - a = 100

Step-by-step explanation:

You want a system of equations that describes the relations, Sheryl and Alto earned $500 with Sheryl earning $100 more than Alto.

(a) Equations

There is an equation associated with each of the numbers. The total earnings can be represented by ...

  s + a = 500

The difference in earnings can be represented by ...

  s - a = 100

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Additional comment

The solution can be found by adding and subtracting these equations.

  (s +a) +(s -a) = (500) +(100)   ⇒   2s = 600   ⇒   s = 300

  (s +a) -(s -a) = (500) -(100)   ⇒   2a = 400   ⇒   a = 200

This method of solution works well for all "sum and difference" problems.

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