Answered

IDNLearn.com is your go-to resource for finding expert answers and community support. Join our interactive Q&A community and access a wealth of reliable answers to your most pressing questions.

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 :

Sqdancefanidn

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.

We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. IDNLearn.com provides the best answers to your questions. Thank you for visiting, and come back soon for more helpful information.