SOLUTION: Eric has twice as much money as Marcia, who has $175 less than Laurel. But Laurel has as much money as Eric and Marcia have together. How much money does each person have?
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Question 107561: Eric has twice as much money as Marcia, who has $175 less than Laurel. But Laurel has as much money as Eric and Marcia have together. How much money does each person have? Found 2 solutions by ankor@dixie-net.com, josmiceli:Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Eric has twice as much money as Marcia, who has $175 less than Laurel. But Laurel has as much money as Eric and Marcia have together. How much money does each person have?
:
Write an equation for each statement:
:
"Eric has twice as much money as Marcia,"
E = 2M
:
"who has $175 less than Laurel."
M = L-175
Or we could write it:
L = M + 175
:
"Laurel has as much money as Eric and Marcia have together."
L = E + M
:
How much money does each person have?
:
In the last equation substitute 2M for E, (from the 1st equation)
L = 2M + M
L = 3M
:
We have: L = M + 175 from the 2nd equation:
Substitute 3M for L
3M = M + 175
3M - M + 175
2M = 175
M = 175/2
M = 87.50
Then:
E = 2M
E = 2(87.50)
E = $175
And
L = 3M
L = 3(87.50)
L = 262.50
:
Check it by the statement:
"Laurel has as much money as Eric and Marcia have together."
L = E + M
L = 175 + 87.50
L = 262.50
:
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You can put this solution on YOUR website!
Combining the 1st and 3rd equations,
Substitute this in 2nd
M = $87.50 answer
E = $175.00 answer
L = $262.50 answer
