SOLUTION: The 3 boys found 20.30 dollars in their brother's old money box, and were given precise instructions as to how it should be shared out. Ron was to get one and a third times as mu

Algebra ->  Finance -> SOLUTION: The 3 boys found 20.30 dollars in their brother's old money box, and were given precise instructions as to how it should be shared out. Ron was to get one and a third times as mu      Log On


   

Question 870652: The 3 boys found 20.30 dollars in their brother's old money box, and were given
precise instructions as to how it should be shared out.
Ron was to get one and a third times as much as Paul, but one and a half times as much as Jack.
How much for Ron?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
r = Rods's share
p = Paul's share
j = Jack's share
:
Write an equation for each statement. We want to get p and j in terms of r
:
The 3 boys found 20.30 dollars in their brother's old money box,
r + p + j = 20.30
:
Ron was to get one and a third times as much as Paul,
r = 11%2F3p
r = 4%2F3p
Mult by 3
3r = 4p
p = 3%2F4r
:
but one and a half times as much as Jack.
r = 11%2F2j
r = 3%2F2j
mult by 2
2r = 3j
j = 2%2F3r
:
r + p + j = 20.30
replace p and j
r + 3%2F4r + 2%2F3r = 20.30
mult by 12, cancel the denominators
12r + 3(3r) + 4(2r) = 12(20.30)
12r + 9r + 8r = 243.6
29r = 243.6
r = 243.6%2F29
:
:
You can confirm this for yourself, find p and j see if they add up to 20.30