Question

1. Sharon and Geordi both worked hard over the summer. Together they earned a total of $525. Geordi eamed $75more than Sharon(a) Write a system of equations for the situation. Use ‘s’ for the amount Sharon earned and ‘g’ for the amountGeordi earned(b) Graph the equations of the system on the graph provided on the next page.(c) Use your graph to estimate how much each person earned, and explain your resultsAnswer:

Answer 1

Jeb, this is the solution:

A. Let s to represent the amount Sharon earned, and let g to represent the amount Geordi earned.

s + g = 525

s + 75 = g

___________

Replacing the second equation into the first:

s + 75 + s = 525

2s + 75 = 525

Subtracting 75 at both sides:

2s + 75 - 75 = 525 - 75

2s = 450

Dividing by 2 at both sides:

2s/2 = 450/2

s = 225, thus g = 225 + 75 = 300

B. Let's graph the equations, as follows:

C. Geordi earned $ 300 and Sharon earned $ 225.