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?
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
yes there is a typo it's supposed to be that he gave her 2/5 of his money.
"MattsRiceBowl" is correct!
Check again with a calculator first, though. :)
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.
KayKay -- please check the links below the Related Questions.
I don't understand those answers and wanted to see of anyone explained it differently.
To find out how much Connor had in the beginning, we need to go step by step.
Let's assume that Connor had x dollars before giving 3/5 of his money to Luisa.
After giving away 3/5 of his money, Connor would have (2/5)x dollars remaining.
Luisa, on the other hand, would have x + (3/5)x dollars, which is (8/5)x dollars.
We know that Luisa and Connor had a total of $360 altogether.
So, we can write the equation:
(2/5)x + (8/5)x = 360
To solve the equation, we'll multiply both sides by 5 to get rid of the denominators:
2x + 8x = 1800
Combining like terms:
10x = 1800
Now, divide both sides by 10:
x = 1800/10
x = 180
Therefore, Connor had $180 in the beginning.