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?


  1. Home
  2. Math
  3. All Questions
Answer:

$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

You can reuse this answer
Creative Commons License