Justin and Lupen shared an amount of money in the ratio 3:5. If Lupen received K5 more than Justine, find the amount shared.

Answer 1

Let's say the amount of money they shared is x.
Therefore, Justine received 3/8*x
Lupen received 5/8*x
Since Lupen received K5 more than Justine, we can set the equation 5/8*x = 3/8*x + K5
To solve for x, we need to subtract 3/8*x from both sides of the equation, getting 5/8*x - 3/8*x = K5
After subtracting, we get 2/8*x = K5
Since 2/8 is the same as 1/4, we get 1/4*x = K5
We can find the value of x by multiplying both sides of the equation by 4/1, which is 4. Thus, x = K20.
Therefore, the amount shared is K20. Answer: \boxed{20}.