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Sagot :
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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