1. Alto and Sheryl both worked hard over the summer. Together they earned a total of $500. Sheryl earned $100 more than Alto

Question

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.

Nick · Answer

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     __   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.

(a) Equations

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