(b) An amount of GHe $$ 4,200.00 $$ was shared between Aha and Kwame. If Aba had $$ \frac{5}{7} $$ of the amount, (i) how much did Kwame receive? (ii) what percentage of Aba's share did Kwame receive?

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UpStudy AI · Accepted Answer

**Step 1. Calculate Aba's Share**

Aba's share is given as 
$$
\frac{5}{7} \text{ of } GHe\,4200.00.
$$
First, compute one-seventh of the total amount:
$$
\frac{4200}{7} = 600.
$$
Then, multiply by 5:
$$
600 \times 5 = 3000.
$$
So, Aba received $$ GHe\,3000.00 $$.

**Step 2. Calculate Kwame's Share**

The total amount is $$ GHe\,4200.00 $$ and it was shared between Aba and Kwame. Hence, Kwame's share is:
$$
4200 - 3000 = 1200.
$$
So, Kwame received $$ GHe\,1200.00 $$.

**Step 3. Calculate the Percentage of Aba's Share that Kwame Received**

Determine the ratio of Kwame's share to Aba's share:
$$
\frac{1200}{3000} = 0.4.
$$
Convert this ratio to a percentage:
$$
0.4 \times 100 = 40\%.
$$

**Final Answers:**

(i) Kwame received $$ GHe\,1200.00 $$.

(ii) Kwame's share is $$ 40\% $$ of Aba's share.
Kwame received $$ GHe\,1200.00 $$ and his share is $$ 40\% $$ of Aba's share.

(b) An amount of GHe \( 4,200.00 \) was shared between Aha and Kwame. If Aba had \( \frac{5}{7} \) of the amount, (i) how much did Kwame receive? (ii) what percentage of Aba's share did Kwame receive?

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