SOLUTION: Alice has 50% of the amount of money Betty has, and Carrie has 2 5 of what Alice has. If Betty has $364 more than Carrie, how much money does Alice have?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Alice has 50% of the amount of money Betty has, and Carrie has 2 5 of what Alice has. If Betty has $364 more than Carrie, how much money does Alice have?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1011340: Alice has 50% of the amount of money Betty has, and Carrie has 2
5
of what Alice
has. If Betty has $364 more than Carrie, how much money does Alice have?

Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Alice has 50%=1%2F2 of the amount of money Betty has,then Alice has 1%2F2 what Betty has
Alice=%281%2F2%29Betty
and if Carrie has 2%2F5 of what Alice, then Carrie=%282%2F5%29Alice
=>Carrie%2F%282%2F5%29=Alice
=>Alice=%285%2F2%29Carrie....eq.1
If Betty has $364 more than Carrie, then Betty=Carrie%2B364.
then Alice=%281%2F2%29Betty=>Alice=%281%2F2%29%28Carrie%2B364%29.......eq.2
from eq.1 and eq.2 we have:
%285%2F2%29Carrie=%281%2F2%29%28Carrie%2B364%29....both sides multiply by 2
5Carrie=Carrie%2B364
5Carrie-Carrie=364
4Carrie=364
Carrie=364%2F4
highlight%28Carrie=91%29
then Alice=%285%2F2%29Carrie....eq.1
Alice=%285%2F2%2991
highlight%28Alice=227.5%29
and Alice=%281%2F2%29Betty
Betty=2%2AAlice
Betty=2%2A227.5
highlight%28Betty=455%29

check:
Alice has 50%=1%2F2 of the amount of money Betty has: 455%2F2=227.5
Betty=Carrie%2B364=> 455=91%2B364=> 455=455
Alice=%285%2F2%29Carrie=>Alice=%285%2F2%2991=227.5

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

Alice has 50% of the amount of money Betty has, and Carrie has 2
5
of what Alice
has. If Betty has $364 more than Carrie, how much money does Alice have?
It depends! Does Carrie have 2%2F5 or 25% of Alice's amount? 
Is it that difficult to check what you're submitting before doing so, or do you all don't care?