Jenny, ken and Ben have total $390.jen has 5 times as much as Ben, and ken has3/4 as much as jen .how much money does ken have?
j+k+b = 390
j = 5b
k = 3/4 j
now just solve for k.
To find out how much money Ken has, let's break down the given information step by step.
Let's assume Ben has x dollars.
Given that Jenny has 5 times as much money as Ben, we can say that Jenny has 5x dollars.
According to the problem, Ken has 3/4 as much money as Jenny. So, Ken would have (3/4) * (5x) dollars.
Now, let's put all the information together. We know that the total money of Jenny, Ken, and Ben combined is $390.
So, we can form the equation:
x + 5x + (3/4) * (5x) = 390
To solve this equation, let's simplify it:
x + 5x + (15/4)*x = 390
Multiplying '4' throughout the equation to remove the fraction:
4x + 20x + 15x = 1560
Combining like terms:
39x = 1560
Dividing both sides by 39:
x = 40
So, Ben has x = $40.
Now we can find out how much money Ken has by substituting the value of x into the expression we found earlier:
Ken's money = (3/4) * 5x = (3/4) * 5 * 40 = 3 * 5 * 10 = $150
Therefore, Ken has $150.