SOLUTION: Frank has half as many again as sally who has half again as many again as mary. Altogether they have 209. how many has each?

Question 380207: Frank has half as many again as sally who has half again as many again as mary. Altogether they have 209.
how many has each?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Frank has half as many again as sally who has half again as many again as mary. Altogether they have 209.
how many has each?
---
Let Mary have "x"
Then Sally has "(3/2)x"
And Frank has (3/2)(3/2 x) = (9/4)x
-----------------------------------------
Equation:
x + (3/2)x + (9/4)x = 209
4x + 6x + 9x = 4*209
19x = 4*209
x = 44
(3/2)x = 66
(9/4)x = 99
==================
cheers,
Stan H.
==============

RELATED QUESTIONS
1.sally had a third again as many as D,who had a third as many as F,altogether they had... (answered by ikleyn)

question 9 Joe has three times as many as Tom, and Tom has four times as many as Mary.... (answered by Edwin McCravy)

Paul has half as many pieces of candy as Jennifer. Jennifer has half as many as Charles.... (answered by Greenfinch)

Sally has 5 more quarters than dimes. She has half as many nickels as dimes . She has an... (answered by mananth)

1. Mary has $2.25 in coins. She has the same number of quarters as dimes. She has half as (answered by ankor@dixie-net.com)

Sally has twice as many dimes as nickels. Altogether she has $2.00. How many dimes does... (answered by josmiceli)

Mike is half again as old as Peter, who is half again as old as Shane. Their total age is (answered by ankor@dixie-net.com)

Andrew has 6 sweets. Mary has X sweets and Jim has twice as many as Andrew. Together... (answered by smarts100%)

Alice has $5.00 in dimes, quarters, and half-dollars. She finds that she has 30 coins... (answered by dabanfield)