Question 31376: I am taking a basic math class for my college degree. However it has been 20+ years! I have a word problem that I can't quite figure out how to put into a formula.
Shannon earns $70 a week more than Diane. Diane earns $40 more than Lori. Lori earns $50 more than Sylvia. The four of them earn a total of $1,500. How much does each person earn?
I had started with x = Sylvia. Then Lori(L) = x+50, and Diane(D) = L+40, and Shannon(S) = D+70. But I don't think this is right.
Thank you for your assistance.
Answer by askmemath(368)   (Show Source):
You can put this solution on YOUR website! x = Sylvia. Then Lori(L) = x+50, and Diane(D) = L+40, and Shannon(S) = D+70.
You are on the right Path
Diane = L+40
but we know that L = X+50
So D = X+50+40 = X+90
Similarly Shannon = X+90+70 = X+160
So total earnings = X + X+50 + X+90 + X+160 = 4X +300
But total we know is $1,500
So 4X+300 = 1500
Subtracting 300 on both sides
4X = 1200
X = 1200/4
X = 300
I hope you can find the rest of the earnings from here :-)
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