fangirl011
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PLEASE HELP!!! I'll mark brainliest! and lots of points! ( I need help, I don't understand any of this!)

Sandi and Garth both had summer jobs. Together, they earned a total of $425. Garth earned $25 more than Sandi. How much did each of them earn?
Write a system of two equations with two variables to model this problem.
Show work! Use substitution or the elimination method to solve the system. How much did Sandi earn and how much did Garth earn?

Respuesta :

GoddessofDork
So for this there is going to be two equations; One showing how much they earned total and one showing how much more Garth made.

Let x mean how much Sandi made and y mean how much Garth made.

The first equation is going to be [tex]x+y=425[/tex]

The second equation is going to be [tex]y=x+25[/tex] .

I'll be using the substitution method since that is already set up for it. So in the first equation substitute y for x+25 since the second equation tells us that is the equivalent to y.

And your equation should look like this: [tex]x+x+25=425[/tex] . From here you can solve for x. 

Combine like terms to get [tex]2x+25=425[/tex]

Subtract 25 on each side to get [tex]2x=400[/tex]

Divide 2 on each side to get [tex]x=200[/tex]


Now that we had got what Sandi had earned, we can substitute x for 200 in either equation to solve for y. I'll be solving for y in the second equation.

[tex]y=200+25 \\ y=225[/tex]


To sum it up, Sandi earned $200 and Garth earned $225.
rachelbiscoe
Garth earned $25 more then Sandi, so take 

$425 - $25 = $400
$400 divided by 2 = $200 for Sandi and $200 for Garth and then add the $25 to garth's money and you have your answer hope this helps 

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