Question

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

Answer 1

Drea: $225

Sajini: $200

Explanation:

D + S = 425

D = S + 25

S + 25 + S = 425

2S = 400

S = 200

D = 200 + 25 = 225

Answer 2

The money earned by Drea was
`\$225`

The money earned by Sajini was
`\$200`

Explanation:

Let

x------> money earned by Drea

y------> money earned by Sajini

we know that

`x+y=425` -----> equation A

`x=y+25` ----> equation B

substitute equation B in equation A

`(y+25)+y=425`

solve for y

`2y=425-25`

`y=400/2=\$200`

Find the value of x

`x=y+25` ---->
`x=200+25=\$225`

using a graphing tool

solve the system of equations

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is
`(225,200)`

see the attached figure