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?
To solve this problem, let's break it down step by step.
Let's assume Connor had x dollars in the beginning.
According to the problem, Connor gave Luisa 3/5 of his money. This means Connor now has (1-3/5) = 2/5 of his original money.
Therefore, Connor has (2/5)x dollars left.
It is also mentioned that Luisa had the same amount of money as Connor after receiving the money. Therefore, Luisa also has (2/5)x dollars.
Now, it is given that Luisa and Connor had a total of $360 altogether.
So we can write the equation:
(2/5)x + (2/5)x = $360
Simplifying the equation:
(4/5)x = $360 (Combine like terms)
To find x, we can isolate it by multiplying both sides of the equation by the reciprocal of (4/5):
[(5/4) * (4/5)] * x = (5/4) * $360
1 * x = $450 (Cancel out the common factor)
Therefore, Connor had $450 in the beginning.