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?

Answer 1

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.