Discounting Prices - Finding the Sale Price Using Percentages ... - Free Printable
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Step-by-step solution for: Discounting Prices - Finding the Sale Price Using Percentages ...
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Show Answer Key & Explanations
Step-by-step solution for: Discounting Prices - Finding the Sale Price Using Percentages ...
To solve the problem, we need to calculate the discount sale price for each item based on the given original price and the discount percentage. The formula to calculate the discount sale price is:
\[
\text{Discount Sale Price} = \text{Original Price} - (\text{Original Price} \times \text{Discount Percentage})
\]
Alternatively, we can use:
\[
\text{Discount Sale Price} = \text{Original Price} \times (1 - \text{Discount Percentage})
\]
Let's solve each part step by step.
---
- Original Price = $212$
- Discount Percentage = $39\% = 0.39$
Using the formula:
\[
\text{Discount Sale Price} = \text{Original Price} \times (1 - \text{Discount Percentage})
\]
\[
\text{Discount Sale Price} = 212 \times (1 - 0.39)
\]
\[
\text{Discount Sale Price} = 212 \times 0.61
\]
\[
\text{Discount Sale Price} = 129.32
\]
So, the discount sale price is $129.32.
---
- Original Price = $812$
- Discount Percentage = $13\% = 0.13$
Using the formula:
\[
\text{Discount Sale Price} = \text{Original Price} \times (1 - \text{Discount Percentage})
\]
\[
\text{Discount Sale Price} = 812 \times (1 - 0.13)
\]
\[
\text{Discount Sale Price} = 812 \times 0.87
\]
\[
\text{Discount Sale Price} = 705.24
\]
So, the discount sale price is $705.24.
---
- Original Price = $111$
- Discount Percentage = $49\% = 0.49$
Using the formula:
\[
\text{Discount Sale Price} = \text{Original Price} \times (1 - \text{Discount Percentage})
\]
\[
\text{Discount Sale Price} = 111 \times (1 - 0.49)
\]
\[
\text{Discount Sale Price} = 111 \times 0.51
\]
\[
\text{Discount Sale Price} = 56.61
\]
So, the discount sale price is $56.61.
---
- Original Price = $291$
- Discount Percentage = $19\% = 0.19$
Using the formula:
\[
\text{Discount Sale Price} = \text{Original Price} \times (1 - \text{Discount Percentage})
\]
\[
\text{Discount Sale Price} = 291 \times (1 - 0.19)
\]
\[
\text{Discount Sale Price} = 291 \times 0.81
\]
\[
\text{Discount Sale Price} = 235.71
\]
So, the discount sale price is $235.71.
---
- Original Price = $315$
- Discount Percentage = $29\% = 0.29$
Using the formula:
\[
\text{Discount Sale Price} = \text{Original Price} \times (1 - \text{Discount Percentage})
\]
\[
\text{Discount Sale Price} = 315 \times (1 - 0.29)
\]
\[
\text{Discount Sale Price} = 315 \times 0.71
\]
\[
\text{Discount Sale Price} = 223.65
\]
So, the discount sale price is $223.65.
---
1. $129.32$
2. $705.24$
3. $56.61$
4. $235.71$
5. $223.65$
\boxed{129.32, 705.24, 56.61, 235.71, 223.65}
\[
\text{Discount Sale Price} = \text{Original Price} - (\text{Original Price} \times \text{Discount Percentage})
\]
Alternatively, we can use:
\[
\text{Discount Sale Price} = \text{Original Price} \times (1 - \text{Discount Percentage})
\]
Let's solve each part step by step.
---
1. If an item has an Original Price of $212$, then it may be discounted by $39\%$. Then, My Discount Sale Price is:
- Original Price = $212$
- Discount Percentage = $39\% = 0.39$
Using the formula:
\[
\text{Discount Sale Price} = \text{Original Price} \times (1 - \text{Discount Percentage})
\]
\[
\text{Discount Sale Price} = 212 \times (1 - 0.39)
\]
\[
\text{Discount Sale Price} = 212 \times 0.61
\]
\[
\text{Discount Sale Price} = 129.32
\]
So, the discount sale price is $129.32.
---
2. If an item has an Original Price of $812$, then it may be discounted by $13\%$. Then, My Discount Sale Price is:
- Original Price = $812$
- Discount Percentage = $13\% = 0.13$
Using the formula:
\[
\text{Discount Sale Price} = \text{Original Price} \times (1 - \text{Discount Percentage})
\]
\[
\text{Discount Sale Price} = 812 \times (1 - 0.13)
\]
\[
\text{Discount Sale Price} = 812 \times 0.87
\]
\[
\text{Discount Sale Price} = 705.24
\]
So, the discount sale price is $705.24.
---
3. If an item has an Original Price of $111$, then it may be discounted by $49\%$. Then, My Discount Sale Price is:
- Original Price = $111$
- Discount Percentage = $49\% = 0.49$
Using the formula:
\[
\text{Discount Sale Price} = \text{Original Price} \times (1 - \text{Discount Percentage})
\]
\[
\text{Discount Sale Price} = 111 \times (1 - 0.49)
\]
\[
\text{Discount Sale Price} = 111 \times 0.51
\]
\[
\text{Discount Sale Price} = 56.61
\]
So, the discount sale price is $56.61.
---
4. If an item has an Original Price of $291$, then it may be discounted by $19\%$. Then, My Discount Sale Price is:
- Original Price = $291$
- Discount Percentage = $19\% = 0.19$
Using the formula:
\[
\text{Discount Sale Price} = \text{Original Price} \times (1 - \text{Discount Percentage})
\]
\[
\text{Discount Sale Price} = 291 \times (1 - 0.19)
\]
\[
\text{Discount Sale Price} = 291 \times 0.81
\]
\[
\text{Discount Sale Price} = 235.71
\]
So, the discount sale price is $235.71.
---
5. If an item has an Original Price of $315$, then it may be discounted by $29\%$. Then, My Discount Sale Price is:
- Original Price = $315$
- Discount Percentage = $29\% = 0.29$
Using the formula:
\[
\text{Discount Sale Price} = \text{Original Price} \times (1 - \text{Discount Percentage})
\]
\[
\text{Discount Sale Price} = 315 \times (1 - 0.29)
\]
\[
\text{Discount Sale Price} = 315 \times 0.71
\]
\[
\text{Discount Sale Price} = 223.65
\]
So, the discount sale price is $223.65.
---
Final Answers:
1. $129.32$
2. $705.24$
3. $56.61$
4. $235.71$
5. $223.65$
\boxed{129.32, 705.24, 56.61, 235.71, 223.65}
Parent Tip: Review the logic above to help your child master the concept of percent discount worksheet.