Daniel , Yusuf and Kofi shared a certain sum
of money in such a way that Daniel receive 1/3
of the money and Yusuf received 2/3 of the
remainder. What fraction of the money did
Kofi receive ?
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Sure! Let's break down the problem step-by-step:
Step 1: Determine the fraction of the money Daniel received.
Given that Daniel received 1/3 of the money, this means he received 1/3 of the total sum.
Step 2: Find the remaining fraction of the money.
To find the remaining fraction of the money, we subtract the fraction Daniel received (1/3) from the total sum. So, the remaining fraction is 1 - 1/3 = 2/3.
Step 3: Determine the fraction of the remaining money that Yusuf received.
Given that Yusuf received 2/3 of the remaining money, this means he received 2/3 of the fraction calculated in Step 2 (2/3 * 2/3 = 4/9).
Step 4: Find the fraction of the money that Kofi received.
To find the fraction of the money that Kofi received, we subtract the fraction Yusuf received (4/9) from the remaining fraction (2/3). So, the fraction that Kofi received is 2/3 - 4/9 = 6/9 - 4/9 = 2/9.
Therefore, Kofi received 2/9 of the money.
Sure! We can solve this step-by-step:
Step 1: Let's assume the total sum of money is represented by 'x'.
Step 2: Daniel received 1/3 of the money. Therefore, Daniel received (1/3)*x.
Step 3: Now we have 2/3 of the money remaining. Therefore, the remainder after Daniel received his share is (2/3)*x.
Step 4: Yusuf received 2/3 of the remainder. Therefore, Yusuf received (2/3)*[(2/3)*x].
Step 5: The remaining share of money is left for Kofi. Therefore, Kofi received the remaining amount, which is (2/3)*x minus the amount Yusuf received.
Step 6: Simplifying the expression from Step 5, we can say that Kofi received (2/3)*x - (2/3)*[(2/3)*x].
Step 7: Now, let's simplify the expression in Step 6.
(2/3)*x - (2/3)*[(2/3)*x]
= (2/3)*x - (4/9)*x
= (2/3 - 4/9)*x
= (6/9 - 4/9)*x
= (2/9)*x
Step 8: So, Kofi received 2/9 of the money, which can be written as the fraction 2/9x.
Therefore, Kofi received 2/9 of the money.
To find the fraction of the money that Kofi received, we need to determine the portion of money that was left after Daniel and Yusuf received their shares.
Let's assume the total amount of money shared is represented by 'x'.
Daniel received 1/3 of the money:
Daniel's share = (1/3) * x = x/3
The remainder of the money, after Daniel's share, is (x - x/3) = (2/3) * x.
Yusuf received 2/3 of the remainder:
Yusuf's share = (2/3) * (2/3) * x = (4/9) * x
Finally, to find Kofi's share, we subtract the shares of Daniel and Yusuf from the total amount of money:
Kofi's share = x - (x/3) - (4/9) * x
To simplify this expression, we need to find a common denominator for the fractions:
Kofi's share = (9/9)*x - (3/9)*x - (4/9)*x
= (2/9)*x
Therefore, Kofi received 2/9 of the money.