Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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

__

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.

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.