Posted by kaykay on .
Luisa and Connor had $360 altogether. after conner gave Luisa 3/5 of his money, she had the same amount of money as he did. how much did conner have in the beginning?

math  typo? 
MathMate,
Please check if there is a typo.
It is not possible that after Connor gave more than half of his money to Luisa and they still have an equal amount... unless Luisa had a negative amount (i.e. owes money) to start with. 
math 
kaykay,
yes there is a typo it's supposed to be that he gave her 2/5 of his money.

math 
Ms. Sue,
KayKay  please check the links below the Related Questions.

math 
kaykay,
I don't understand those answers and wanted to see of anyone explained it differently.

math 
MattsRiceBowl,
Start by writing down what we know.
There is $360 between two people.
The names of the two people are Connor (which we will now call "C") and Luisa (we will call her "L").
C gave L 2/5 of his money. They then had the same amount of money.
So let's break it down into what we can write for math. Since they both have $360, we can say if we add C and L's money together, there is $360.
C+L=360
We also know that if C gives L 2/5 of his money, they will have the same amount.
So L gets 2/5 of C's money.
L + 2/5C
That is equal to C losing 2/5 of his money (since he gave it to L)
C  2/5C
Since they are now the same, we can put them together and say they are equal.
L + 2/5C = C  2/5C
Now we have 2 equations:
L + 2/5C = C  2/5C
AND
C+L = 360
Now what we want to do is put one letter by itself in any equation. (2nd one is easier to do).
C + L = 360
L = 360  C
Now we can take that and change out the "C" in the other equation:
L + 2/5C = C  2/5C
Anywhere we see a "L" we will change it to "360C"
360C + 2/5C = C  2/5C
Now we just have to get C by itself.
360 = C  2/5C + C  2/5C
360 = 2C  4/5C
360 = 1 1/5C
360 = 6/5 C
300 = C
So we know C had $300
The only question now is how much did L have?
Remember "C + L = 360?"
Since C had $300, we can say
300 + L = 360
L = 60
So C had $300
L had $60
Now we can check. C gave L 2/5 of his $$
300(2/5) = $120.
So C gave L $120, leaving him with $180.
L got $120. She had $60. So L NOW has $180
They both have the same amount.
Hope that helps. :D