### Jeff says, If Kevin gives me $30, he will have half as much as Daniel. But, if Daniel gives me$30 then three of us will have the same amount. What is the total amount of money that Jeff, Kevin, and Daniel have among themselves?

$270 Step by Step Explanation: 1. Let us first look at the second statement, 'If Daniel gives Jeff$30 then three of us will have the same amount.'
This means that if Kevin had x amount,
Jeff had $(x - 30) and Daniel had$(x + 30).
2. Now, look at the first statement,
'If Kevin gives Jeff 30, Kevin will have half as much as Daniel.'
That is,
x - 30 = 1/2 (x + 30)
3. Let us solve the above equation,
x - 30 = 1/2 (x + 30)
⇒ 2x - 2(30) = x + 30
⇒ 2x -x = 2(30) + 30
⇒ x = 3(30)
⇒ x = 90
4. Now, the total amount Jeff, Kevin, and Daniel have:
= (x - 30) + x + (x + 30)
= 3x
= 3 × 90
= \$270