SOLUTION: Asher has 20% less money than james. Lisa has 10% more money than james. Lisa has 24 dollars more than Asher. How much money do the three of them have alogether?

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: Asher has 20% less money than james. Lisa has 10% more money than james. Lisa has 24 dollars more than Asher. How much money do the three of them have alogether?      Log On


   



Question 581413: Asher has 20% less money than james. Lisa has 10% more money than james. Lisa has 24 dollars more than Asher. How much money do the three of them have alogether?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Asher has 20% less money than james. Lisa has 10% more money than James. Lisa has 24 dollars more than Asher. How much money do the three of them have altogether?
:
Let a = amt A has
let b = amt L has
let c = amt J has
:
Write an equation for each statement:
:
"Asher has 20% less money than james." (multiplier for 20% less is .8)
a = .8c
:
"Lisa has 10% more money than james." (multiplier for 10% more is 1.1)
b = 1.1c
:
"Lisa has 24 dollars more than Asher."
b = a + 24
Replace b with 1.1c, replace a with .8c
1.1c = .8c + 24
1.1c - .8c = 24
.3c = 24
c = 24%2F.3
c = $80 is J's amt
then
a = .8(80)
a = $64 is A's amt
and
b = 1.1(80)
b = $88 is L's amt
:
How much altogether?
80 + 64 + 88 = $232