Justin and Lupen shared an amount of money in the ratio 3:5. If Lupen received K5 more than Justine, find the amount shared.
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}.
Let's assume that the amount of money Justine received is 3x.
According to the given ratio, Lupen received 5x.
It is given that Lupen received K5 more than Justine, so we can write the equation:
5x = 3x + K5
Now, let's solve the equation to find the value of x:
5x - 3x = K5
2x = K5
Dividing both sides by 2:
x = K5/2
Now, let's substitute the value of x back into the equation to find the amount shared:
Amount shared = Justine's amount + Lupen's amount
= 3x + 5x
= 8x
Substituting the value of x:
Amount shared = 8(K5/2)
= 4K5
Therefore, the amount shared is 4K5.
To find the amount shared, we first need to determine the common ratio between Justin and Lupen.
Let's assume that the amount shared by Justin is represented by the variable 'x'.
According to the given ratio, Justin and Lupen shared the money in the ratio 3:5. This means that Lupen's share is 5 times as much as Justin's share.
So, Lupen's share can be represented as 5x.
In addition, it is given that Lupen received K5 more than Justin. Therefore, we can set up the following equation:
5x = x + K5
To solve for 'x', we subtract 'x' from both sides of the equation:
5x - x = x - x + K5
4x = K5
Finally, we divide both sides of the equation by 4 to isolate 'x':
(4x) / 4 = (K5) / 4
x = K5 / 4
Thus, the amount shared by Justin is K5 / 4.
To find the total amount shared, we calculate Justin's share and Lupen's share and add them together:
Justin's share = K5 / 4
Lupen's share = 5 * (K5 / 4)
Total amount shared = Justin's share + Lupen's share = K5 / 4 + (5 * K5 / 4)