https://file.aiquickdraw.com/mathbot/file/1729849069779baib8o4x.jpg

To solve this problem, we need to determine the lowest amount Annabel can pay for exactly 76 pencils, considering two options:

- Individual pencils cost **30p** each.
- A pack of 10 pencils costs **£2**.

### Step-by-step approach:

1. **Buy as many packs as possible**: Since Annabel needs 76 pencils, she can buy as many packs of 10 as possible. Dividing 76 by 10 gives:
   \[
   \text{Number of packs} = \frac{76}{10} = 7 \text{ full packs and } 6 \text{ individual pencils}.
   \]
   
   Therefore, she can buy **7 packs of 10 pencils** and will still need **6 individual pencils**.

2. **Cost of the packs**: Each pack costs £2, so the cost of 7 packs is:
   \[
   7 \times 2 = £14.
   \]

3. **Cost of the remaining pencils**: Each individual pencil costs 30p, so the cost of 6 individual pencils is:
   \[
   6 \times 0.30 = £1.80.
   \]

4. **Total cost**: Adding the cost of the packs and the individual pencils:
   \[
   £14 + £1.80 = £15.80.
   \]

Thus, the lowest amount Annabel can pay for 76 pencils is **£15.80**.

Would you like further clarification on this solution?

### Related Questions:
1. What if Annabel wanted to buy 85 pencils instead of 76?
2. How much would it cost if Annabel bought all the pencils individually?
3. What would the cost be if packs of pencils were 15 instead of 10?
4. How does buying in bulk affect the overall cost compared to individual purchases?
5. If the price per pencil in the pack increases, how many individual pencils would it be more economical to buy?

### Tip:
When solving problems with different pricing options, always check how many larger sets you can buy first, then calculate the cost of remaining units individually.

Annabel wants to buy exactly 76 pencils. What is the lowest amount she can pay?

Determine the minimum amount Annabel can pay to buy exactly 76 pencils using cost optimization strategies. The problem covers arithmetic and efficient purchasing choices. Suitable for Grade 6-8 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation