# math

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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? - ,

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 - ,

yes there is a typo it's supposed to be that he gave her 2/5 of his money.

• math - ,

• math - ,

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

• math - ,

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

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