To solve this problem, we can start by finding the common denominator for the fractions 1/4, 2/7, and 1/3. The common denominator is 84.
(a) Adam gave Don 1/4 of his money, which is (1/4) * 84 = 21 units of money.
Billy gave Don 2/7 of his money, which is (2/7) * 84 = 24 units of money.
Chandra gave Don 1/3 of his money, which is (1/3) * 84 = 28 units of money.
The total amount of money the three boys gave is 21 + 24 + 28 = 73 units of money.
Don received 73 units of money out of the total of 84 units of money. So the fraction of the total sum of money the three boys had that Don received is 73/84.
(b) If Don had $96 in the end, then 73 units of money is equal to $96.
So 1 unit of money is equal to $96/73.
Adam gave Don 21 units of money, so Adam had 21 * ($96/73) = $27.84 at first. Answer: \boxed{27.84}.
Adam, Billy and Chandra each gave the same amount of money to Don who had no money. Adam gave Don 1/4 of his money Billy gave Don 2/7 of his money. Chandra gave Don 1/3 of his money.
(a) What fraction of the total sum of money the 3 boys had did Don
receive?
(b) Don had $96 in the end. How much did Adam have at first?
1 answer