Mrs Abaka harvested 54 bags of rice from her farm. She wants to sell three sixth of the rice at 530 cedis per bag. She is also has plans to harvest 70% of the revenue from the sales in her building.find a.number of bags she must sell b.amount of money expected from the sales c.amount expected to be spent on the building

Let's break down the problem step by step.

### Given:
- Mrs. Abaka harvested **54 bags of rice**.
- She wants to sell **three-sixths** (or \( \frac{3}{6} \)) of the rice at **530 cedis per bag**.
- She plans to use **70%** of the revenue from these sales on her building.

Let's solve each part in turn.

#### Part (a): Number of bags she must sell

1. **Calculate three-sixths of the 54 bags:**
   \[
   \text{Number of bags to sell} = \frac{3}{6} \times 54
   \]

2. Simplify \( \frac{3}{6} \) to \( \frac{1}{2} \) and calculate:
   \[
   \text{Number of bags to sell} = \frac{1}{2} \times 54 = 27
   \]

So, she must sell **27 bags** of rice.

#### Part (b): Amount of money expected from the sales

1. Each bag sells for **530 cedis**.
2. Calculate the total revenue from selling 27 bags:
   \[
   \text{Revenue} = 27 \times 530 = 14310 \text{ cedis}
   \]

So, the expected revenue from the sales is **14,310 cedis**.

#### Part (c): Amount expected to be spent on the building

1. She plans to use **70%** of the revenue for the building.
2. Calculate 70% of 14,310 cedis:
   \[
   \text{Amount for building} = 0.7 \times 14310 = 10017 \text{ cedis}
   \]

So, she expects to spend **10,017 cedis** on the building.

### Summary of Answers:
- **(a)** She must sell **27 bags**.
- **(b)** The amount of money expected from the sales is **14,310 cedis**.
- **(c)** The amount expected to be spent on the building is **10,017 cedis**.

Would you like further details or have any questions?

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#### Related Questions:
1. What if Mrs. Abaka decided to sell four-sixths of the rice instead?
2. How would her expenses change if the price per bag was 600 cedis instead of 530?
3. If she wanted to save 30% of her revenue, how much would that be?
4. How many bags would she need to sell to earn at least 20,000 cedis?
5. What if she used only 50% of the revenue for her building expenses?

#### Tip:
Always convert fractions to their simplest form before calculating to make your work easier.

Mrs. Abaka harvested 54 bags of rice from her farm. She wants to sell three-sixths of the rice at 530 cedis per bag. She also plans to use 70% of the revenue from the sales on her building. Find: a. the number of bags she must sell, b. the amount of money expected from the sales, c. the amount expected to be spent on the building.

Learn how to solve a real-life math problem involving fractions, multiplication, and percentages. Mrs. Abaka wants to sell three-sixths of her 54 bags of rice at 530 cedis per bag and plans to spend 70% of the revenue on her building. This detailed solution covers each step, from calculating the number of bags to finding the total revenue and the amount allocated for building expenses. Ideal for Grades 5-7 students.

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