Ruiling had $1390 more than Louis at first. Ruling bought a ring with 60% of her money and Louis spent 3/4 of his money. Ruling had $964 more than Louis in the end. Find the total amount of money both o them had at first?
Let's call the amount of money Louis had at first "x".
According to the problem, Ruiling had $1390 more than Louis at first, so she had x + 1390.
Ruling then bought a ring with 60% of her money, which means she spent 0.6(x + 1390) = 0.6x + 834.
Louis spent 3/4 of his money, which means he spent 0.75x.
In the end, Ruiling had $964 more than Louis, so we can set up the equation:
0.6x + 834 = 0.75x + 964
Simplifying, we get:
0.15x = 130
x = 866.67
So Louis had $866.67 at first.
Ruiling had $1390 more than Louis at first, so she had $866.67 + $1390 = $2256.67 at first.
Therefore, the total amount of money both of them had at first was $866.67 + $2256.67 = $3123.34.
Let's assume that Louis had x dollars at first.
According to the given information, Ruiling had $1390 more than Louis at first. Therefore, Ruiling had x + $1390 dollars at first.
Next, Ruiling bought a ring with 60% of her money. This means she spent 0.6 * (x + $1390) dollars on the ring.
After buying the ring, Ruiling had x + $1390 - 0.6 * (x + $1390) dollars left.
Similarly, Louis spent 3/4 of his money. This means he spent 0.75x dollars.
After spending his money, Louis had x - 0.75x = 0.25x dollars left.
Given that Ruiling had $964 more than Louis in the end, we can set up the following equation:
x + $1390 - 0.6 * (x + $1390) = 0.25x + $964
Now, let's solve this equation to find the value of x.
x + $1390 - 0.6x - 0.6 * $1390 = 0.25x + $964
Combining like terms:
$1390 - 0.6x - 0.6 * $1390 = 0.25x + $964
Simplifying:
($1390 - 0.6 * $1390) - 0.25x = $964
0.4 * $1390 - 0.25x = $964
$556 - 0.25x = $964
Next, let's solve for x:
-0.25x = $964 - $556
-0.25x = $408
x = $408 / -0.25
x = $-1632
Since the amount of money cannot be negative, there seems to be an error in the given information or calculations. Please double-check the values provided.