Posted by **kaykay** on Friday, April 22, 2011 at 6:37pm.

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**, Friday, April 22, 2011 at 7:32pm
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**, Friday, April 22, 2011 at 7:42pm
yes there is a typo it's supposed to be that he gave her 2/5 of his money.

- math -
**Ms. Sue**, Friday, April 22, 2011 at 7:48pm
KayKay -- please check the links below the **Related Questions**.

- math -
**kaykay**, Friday, April 22, 2011 at 7:49pm
I don't understand those answers and wanted to see of anyone explained it differently.

- math -
**MattsRiceBowl**, Friday, April 22, 2011 at 9:11pm
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 "360-C"

360-C + 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

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