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Let's go through each problem on the activity sheet and solve them one by one.

### 1. Aliyah receives a 30% discount on all the items she bought, which amounted to ₱1,800. How much is she going to pay the cashier?
- **Original Amount:** ₱1,800
- **Discount Rate:** 30%

**Solution:**
1. Calculate the discount amount:
   \[
   \text{Discount Amount} = \text{Original Amount} \times \left(\frac{\text{Discount Rate}}{100}\right) = 1800 \times 0.30 = 540
   \]
2. Subtract the discount from the original amount to find the sale price:
   \[
   \text{Sale Price} = \text{Original Amount} - \text{Discount Amount} = 1800 - 540 = 1260
   \]

So, Aliyah will pay **₱1,260** to the cashier.

### 2. Janelle bought a pair of shoes on its sale price of ₱1,200. How much was the discount if she was given an 18% discount rate?
- **Original Sale Price:** ₱1,200
- **Discount Rate:** 18%

**Solution:**
1. Calculate the discount amount:
   \[
   \text{Discount Amount} = \text{Original Sale Price} \times \left(\frac{\text{Discount Rate}}{100}\right) = 1200 \times 0.18 = 216
   \]

So, the discount Janelle received was **₱216**.

### 3. In an appliance store, a mini-speaker is marked “10% off”. If the original amount is ₱1,030:
   - **a. How much is the discount?**
   - **b. What is the sale price of the mini-speaker?**

- **Original Price:** ₱1,030
- **Discount Rate:** 10%

**Solution for (a):**
1. Calculate the discount amount:
   \[
   \text{Discount Amount} = \text{Original Price} \times \left(\frac{\text{Discount Rate}}{100}\right) = 1030 \times 0.10 = 103
   \]

So, the discount is **₱103**.

**Solution for (b):**
2. Subtract the discount from the original price to find the sale price:
   \[
   \text{Sale Price} = \text{Original Price} - \text{Discount Amount} = 1030 - 103 = 927
   \]

So, the sale price of the mini-speaker is **₱927**.

Would you like further explanations or details on any of these problems?

### Related Questions:
1. How do you calculate the percentage of a discount?
2. What would be the final price if the discount rate was changed to 25% for the mini-speaker?
3. If Aliyah received an additional 10% discount on the discounted price, how much would she pay?
4. How does changing the discount rate affect the final price?
5. What is the difference between a discount rate and a markdown?

### Tip:
Always double-check your calculations when dealing with percentages, especially in real-life scenarios like shopping discounts, to ensure you are getting the right deal.

Solve for the discount and the sale price of each item given the discount rate and the original price. Problem set includes questions involving a 30% discount on items amounting to ₱1,800, an 18% discount on shoes worth ₱1,200, and a 10% discount on a mini-speaker priced at ₱1,030.

Learn how to calculate discounts and final sale prices using percentages. This problem set includes real-life scenarios involving a 30% discount on items worth ₱1,800, an 18% discount on shoes worth ₱1,200, and a 10% discount on a mini-speaker priced at ₱1,030. Suitable for Grade 7 students.

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