Let's break down the problem and solve it step by step:

a) Work out the cost of 1 plum.

The cost of 7 plums is 63p. To find the cost of 1 plum: $\text{Cost of 1 plum} = \frac{63p}{7} = 9p$

b) Work out the cost of 1 lime.

The cost of 5 limes is 60p. To find the cost of 1 lime: $\text{Cost of 1 lime} = \frac{60p}{5} = 12p$

c) Which type of fruit is cheaper per item?

• Cost of 1 plum = 9p
• Cost of 1 lime = 12p

Since 9p < 12p, plums are cheaper per item.

Let me know if you would like further explanation or details!

Relative Questions:

1. If 14 plums cost 126p, how much does 1 plum cost?
2. How much would 10 limes cost at the given rate?
3. If a shopper buys 3 plums and 2 limes, what is the total cost?
4. How would the prices change if 7 plums cost 70p and 5 limes cost 50p?
5. What is the price difference between buying 1 lime and 1 plum?

Tip:

When solving for the cost per item, always divide the total cost by the number of items for a clear, consistent unit rate.