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Question
assessment practice 9. an office supply store sells packs of pens. bargain shoppers have four options. part a complete the table to find the unit price for each option. packs of pens 5 pens for $4.85 12 pens for $11.40 25 pens for $24.50 60 pens for $57.60 unit price part b compare the unit rates found in part a. identify the best value. 70 5-6 compare unit rates
Part A: Calculate Unit Prices
To find the unit price (price per pen) for each pack, we use the formula:
Unit Price = $\frac{\text{Total Price}}{\text{Number of Pens}}$
Step 1: 5 pens for $4.85
Unit Price = $\frac{4.85}{5}$
Calculate: $4.85 \div 5 = 0.97$
Unit Price: $\$0.97$ per pen
Step 2: 12 pens for $11.40
Unit Price = $\frac{11.40}{12}$
Calculate: $11.40 \div 12 = 0.95$
Unit Price: $\$0.95$ per pen
Step 3: 25 pens for $24.50
Unit Price = $\frac{24.50}{25}$
Calculate: $24.50 \div 25 = 0.98$
Unit Price: $\$0.98$ per pen
Step 4: 60 pens for $57.60
Unit Price = $\frac{57.60}{60}$
Calculate: $57.60 \div 60 = 0.96$
Unit Price: $\$0.96$ per pen
Part B: Identify the Best Value
The best value (lowest unit price) is the smallest unit price.
Compare the unit prices:
- 5 pens: $\$0.97$
- 12 pens: $\$0.95$
- 25 pens: $\$0.98$
- 60 pens: $\$0.96$
The lowest unit price is $\$0.95$ (for 12 pens for $\$11.40$).
Final Table (Part A)
| Pack of Pens | Unit Price |
|---|---|
| 12 pens for $\$11.40$ | $\$0.95$ per pen |
| 25 pens for $\$24.50$ | $\$0.98$ per pen |
| 60 pens for $\$57.60$ | $\$0.96$ per pen |
Best Value (Part B)
The pack with the best value (lowest unit price) is **12 pens for $\$11.40$** (unit price: $\$0.95$ per pen).
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Part A: Calculate Unit Prices
To find the unit price (price per pen) for each pack, we use the formula:
Unit Price = $\frac{\text{Total Price}}{\text{Number of Pens}}$
Step 1: 5 pens for $4.85
Unit Price = $\frac{4.85}{5}$
Calculate: $4.85 \div 5 = 0.97$
Unit Price: $\$0.97$ per pen
Step 2: 12 pens for $11.40
Unit Price = $\frac{11.40}{12}$
Calculate: $11.40 \div 12 = 0.95$
Unit Price: $\$0.95$ per pen
Step 3: 25 pens for $24.50
Unit Price = $\frac{24.50}{25}$
Calculate: $24.50 \div 25 = 0.98$
Unit Price: $\$0.98$ per pen
Step 4: 60 pens for $57.60
Unit Price = $\frac{57.60}{60}$
Calculate: $57.60 \div 60 = 0.96$
Unit Price: $\$0.96$ per pen
Part B: Identify the Best Value
The best value (lowest unit price) is the smallest unit price.
Compare the unit prices:
- 5 pens: $\$0.97$
- 12 pens: $\$0.95$
- 25 pens: $\$0.98$
- 60 pens: $\$0.96$
The lowest unit price is $\$0.95$ (for 12 pens for $\$11.40$).
Final Table (Part A)
| Pack of Pens | Unit Price |
|---|---|
| 12 pens for $\$11.40$ | $\$0.95$ per pen |
| 25 pens for $\$24.50$ | $\$0.98$ per pen |
| 60 pens for $\$57.60$ | $\$0.96$ per pen |
Best Value (Part B)
The pack with the best value (lowest unit price) is **12 pens for $\$11.40$** (unit price: $\$0.95$ per pen).