Question 399660: This makes no sens what so ever... I am an 7th grader taking highschool math courses and this just stumped me.
Sarah and her brother, Jacob, worked hard weeding their neighbor’s garden. Together, they earned a total of $1040. Sarah earned $240 more than Jacob. How much did each of them earn?
Write a system of two equations with two variables to model this problem.
Use substitution or the elimination method to solve the system.
Answer the question.
show how to check your answer.
Found 2 solutions by stanbon, Tatiana_Stebko:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Sarah and her brother, Jacob, worked hard weeding their neighbor’s garden. Together, they earned a total of $1040. Sarah earned $240 more than Jacob. How much did each of them earn?
Write a system of two equations with two variables to model this problem.
Use substitution or the elimination method to solve the system.
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Equations:
s + j = 1040
s = j+240
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Substitute for "s" and solve for "j":
(j+240)+j = 1040
2j = 800
j = $400 (amount of money Jacob earned)
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Solve for "s":
s = j+240
s = 400 + 240
s = $640 (amount of money Sarah earned)
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Checking:
s+j = 1040
640 + 400 = 1040
1040 = 1040
---
s = j + 240
640 = 400 + 240
640 = 640
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Cheers,
Stan H.
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Answer by Tatiana_Stebko(1539)  (Show Source):
You can put this solution on YOUR website! If Sarah earned $x, and Jacob earned $y, then together they earned x+y, we know that they earned $1040, so we have the first equation
Sarah earned $240 more than Jakob, so x-y=240 (second equation)
The system of two equations with two variables to model this problem is
x+y=1040
x-y=240
Let use the elimination method
let add the first equation to the second
x+y=1040
(x-y)+(x+y)=240+1040
.
x+y=1040
2x=1280, then  $ Sarah earned
Let put x=640 in the first equation x+y=1040
640+y=1040
y=1040-640
y=400 $ Jakob earned
answer: x=640,y=400
For check answer put x=640,y=400 in any equations of system
x+y=1040, 640+400=1040, 1040=1040 (correct)
x-y=240, 640-400=240, 240=240 (correct)
Answer: Sarah earned $640; Jakob earned $400
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