SOLUTION: Mr. Green and Mr. Martin played a game of marbles. At first, the ratio of MR.Green;s to Mr. MArtins marbles was 8:3. But then Mr.Green gave 45 of his marbles to Mr. Martin. In the

Algebra ->  Proportions  -> Lessons -> SOLUTION: Mr. Green and Mr. Martin played a game of marbles. At first, the ratio of MR.Green;s to Mr. MArtins marbles was 8:3. But then Mr.Green gave 45 of his marbles to Mr. Martin. In the       Log On


   



Question 573671: Mr. Green and Mr. Martin played a game of marbles. At first, the ratio of MR.Green;s to Mr. MArtins marbles was 8:3. But then Mr.Green gave 45 of his marbles to Mr. Martin. In the end they both had the same amount of marbles. Howmany marbles did Mr.Green start with?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Mr. Green and Mr. Martin played a game of marbles.
At first, the ratio of MR.Green;s to Mr. MArtins marbles was 8:3.
But then Mr.Green gave 45 of his marbles to Mr. Martin.
In the end they both had the same amount of marbles.
How many marbles did Mr.Green start with?
:
Let g = Green's marbles originally
Let m = Martin's original number
:
g%2Fm = 8%2F3
Cross multiply
8m = 3g
m = 3%2F8g
:
g gave 45 to m
g - 45 = m + 45
g = m + 45 + 45
g = m + 90
Replace m with 3%2F8g
g = 3%2F8g + 90
g - 3%2F8g = 90
5%2F8g = 90
multiply both sides by 8
5g = 8(90)
5g = 720
g = 720/5
g = 144 marble, Mr Green started with
:
:
You can check this by finding m and putting it in the 1st equation