Math Problem Statement

A grocery shop sells plums and limes. 7 plums cost 63p. 5 limes cost 60p. a) Work out the cost of 1 plum. b) Work out the cost of 1 lime. c) Which type of fruit is cheaper per item?

Solution

Let's solve this step by step.

a) Work out the cost of 1 plum.

7 plums cost 63p, so the cost of 1 plum is: Cost of 1 plum=637=9p.\text{Cost of 1 plum} = \frac{63}{7} = 9 \text{p}.

b) Work out the cost of 1 lime.

5 limes cost 60p, so the cost of 1 lime is: Cost of 1 lime=605=12p.\text{Cost of 1 lime} = \frac{60}{5} = 12 \text{p}.

c) Which type of fruit is cheaper per item?

From the calculations:

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

Since 9p is less than 12p, plums are cheaper per item.


Would you like further explanation, or do you have questions? Here are 5 related problems to explore:

  1. If the price of plums increases by 2p per plum, what will be the new cost of 7 plums?
  2. How much would it cost to buy 10 limes at the current rate?
  3. If you have £1, how many plums can you buy, and how much money will be left?
  4. Compare the total cost of 10 plums and 10 limes.
  5. If a discount of 10% is applied to limes, what would be the new cost of 1 lime?

Tip:

Always divide the total cost by the number of items to find the unit price—it’s a useful skill for comparing prices!

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Unit Pricing
Division

Formulas

Cost of 1 item = Total cost ÷ Number of items

Theorems

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Suitable Grade Level

Grade 6-7