A medium box of washing powder costs £4.75 and contains enough powder for
25 washes.
A large box of washing powder costs £8.40 and contains enough powder for 40 washes.
Which is the better value, the medium box or the large box?
Make sure you show all your working.

To determine which box of washing powder offers better value, we need to calculate the cost per wash for both the medium and large boxes and then compare them.

### Step 1: Calculate the cost per wash for the medium box.

- **Cost of medium box** = £4.75
- **Number of washes** = 25

\[
\text{Cost per wash for medium box} = \frac{4.75}{25} = 0.19 \, (\text{or 19p})
\]

### Step 2: Calculate the cost per wash for the large box.

- **Cost of large box** = £8.40
- **Number of washes** = 40

\[
\text{Cost per wash for large box} = \frac{8.40}{40} = 0.21 \, (\text{or 21p})
\]

### Step 3: Compare the costs per wash.

- **Cost per wash for medium box**: £0.19
- **Cost per wash for large box**: £0.21

Since **£0.19** (medium box) is less than **£0.21** (large box), the **medium box** is the better value.

### Final Answer:
The **medium box** offers better value as it has a lower cost per wash at **19p** compared to **21p** for the large box.

Would you like further details or have any questions?

Here are 5 related questions that expand on the concept:
1. How would the cost per wash change if the price of the large box was reduced to £7.60?
2. If a customer wanted to buy enough powder for 100 washes, how many of each box should they buy for the lowest total cost?
3. What would the cost per wash be if the medium box had a price increase to £5.00?
4. How does percentage difference in cost per wash between the two boxes impact decision-making for a buyer?
5. If another box had 50 washes for £9.00, how would its cost per wash compare to the others?

**Tip:** When comparing products, always break down their prices into per-unit costs. It helps make more informed decisions!

A medium box of washing powder costs £4.75 and contains enough powder for 25 washes. A large box of washing powder costs £8.40 and contains enough powder for 40 washes. Which is the better value, the medium box or the large box? Make sure you show all your working.

Learn how to determine which box of washing powder offers better value by calculating the cost per wash. This example compares a medium box costing £4.75 for 25 washes and a large box costing £8.40 for 40 washes. Perfect for students in Grades 5-7.

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