Mathematics 2018 JAMB Past Questions - Question 35: Two sisters, Taiwo and kehinde, own a store. The ratio of Taiwo's share to Kehinde's is 11.9. Later, Kehinde sells 2/3 of her share to Taiwo for #720.00. find the value of the store.

Correct Answer

B

Explanation

Let the value of store = XRatio of Taiwo's share to Kehinde's is 11:9,Kehinde sells 2/3 of her share to Taiwo for #720.002/3 of 9 =6therefor Sum of two ratios = 11+9=206/20 of x = #720 = 6x/20 = 7206/20 of X = #720 = 6x/20 = 720therefor x = 720 x 20 /6 = #2400.00To solve this problem, we can use the concept of ratios and proportions.Let's denote the initial shares of Taiwo and Kehinde as T and K, respectively. According to the given information, the ratio of Taiwo's share to Kehinde's share is 11:9.Later, Kehinde sells 2/3 of her share to Taiwo for #720.00. This means that after the sale, Taiwo's share becomes 11 + 2 = 13 parts, and Kehinde's share becomes 9 - 2 = 7 parts.Now, we can set up a proportion to find the value of the store. The amount paid by Taiwo for 2/3 of Kehinde's share is #720.00, so we can write:\[ \frac{2}{3} \times \text{Kehinde's share} = 720 \]We can find the value of Kehinde's share by multiplying both sides by 3/2:\[ \text{Kehinde's share} = \frac{720 \times 3}{2} = 1080 \]Now, we can find the value of Taiwo's share:\[ \text{Taiwo's share} = 13 \times \text{Kehinde's share} = 13 \times 1080 = 14040 \]The total value of the store is the sum of Taiwo's and Kehinde's shares:\[ \text{Total value} = \text{Taiwo's share} + \text{Kehinde's share} = 14040 + 1080 = 15120 \]Therefore, the value of the store is #15120.