Drea and Sajini both worked at a local ice cream shop over the summer. Together, they earned a total of $425. Drea earned $25 more than Sajini. Write a system of two equations with two variables to model this problem. Use an algebraic method (substitution or linear combination) to solve the system. Graph both equations. Be sure to include the solution on your graph. How much did each person earn?

ps i can graph it myself i guess i just need the rest

Question

Mathematics

Marlene Small

22 October, 10:28

Drea and Sajini both worked at a local ice cream shop over the summer. Together, they earned a total of $425. Drea earned $25 more than Sajini. Write a system of two equations with two variables to model this problem. Use an algebraic method (substitution or linear combination) to solve the system. Graph both equations. Be sure to include the solution on your graph. How much did each person earn?

ps i can graph it myself i guess i just need the rest

+2

Answers (2)

Know the Answer?

Highbeam · Answer 1

Drea: $225

Sajini: $200

Step-by-step explanation:

D + S = 425

D = S + 25

S + 25 + S = 425

2S = 400

S = 200

D = 200 + 25 = 225

Amiya Mendoza · Answer 2

Sajini = 200

Drea = 225

Step-by-step explanation:

d = amount Drea earned

s = amount Sajini earned

Together they earned 425

d+s = 425

d = s+25

The system of equations

d+s = 425

d = s+25

I will use substitution to solve

Substitute d = s+25 into the first equation

d+s = 425

(s+25) + s = 425

Combine like terms

2s+25 = 425

Subtract 25 from each side

2s+25-25 = 425-25

2s = 400

Divide by 2

2s/2 = 400/2

s = 200

Sajini = 200

Now we need to find d

d = s+25

d = 200 + 25

d = 225

Drea = 225