https://file.aiquickdraw.com/mathbot/file/1729443687468fhz64yk2.jpg

Let's work through the problem.

The school needs to buy water for **268 pupils**.

- **A pack of 6 bottles** costs **£4**.
- **A pack of 9 bottles** costs **£5**.

We need to determine whether it is cheaper to buy only packs of 6 bottles or only packs of 9 bottles, and by how much.

### Step 1: Buying only packs of 6 bottles

To calculate the number of packs of 6 needed:
\[
\frac{268}{6} = 44.67
\]
So, the school will need **45 packs** (rounding up to cover all pupils).

Cost of 45 packs:
\[
45 \times 4 = 180 \text{ pounds}
\]

### Step 2: Buying only packs of 9 bottles

To calculate the number of packs of 9 needed:
\[
\frac{268}{9} = 29.78
\]
So, the school will need **30 packs** (rounding up to cover all pupils).

Cost of 30 packs:
\[
30 \times 5 = 150 \text{ pounds}
\]

### Step 3: Difference in cost

The cost of buying 45 packs of 6 bottles is **£180**, and the cost of buying 30 packs of 9 bottles is **£150**.

So, it is cheaper to buy packs of 9 bottles by:
\[
180 - 150 = 30 \text{ pounds}
\]

### Conclusion:
It is **£30** cheaper to buy only packs of 9 bottles.

---

Would you like further details or have any other questions?

### Related Questions:
1. How would the cost change if the number of pupils was 300?
2. What if the cost of a pack of 6 increased to £5?
3. How many bottles are left over in each scenario?
4. What would be the cost if the school bought a mix of packs of 6 and 9 bottles?
5. What if the price per bottle was compared instead of per pack?

#### Tip:
When solving similar problems, always calculate whether it's more cost-effective to use larger packs to minimize waste and expense.

Is it cheaper to buy only packs of 6 bottles or only packs of 9 bottles, and how much cheaper?

A school needs water for 268 pupils. Compare whether it's cheaper to buy packs of 6 or 9 bottles, with costs of £4 and £5 respectively. This exercise covers division, rounding, and multiplication. Find out how much cheaper one option is.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation