Math Problem Statement

answer

It costs £2.88 for a box of 6 pencil sharpeners. It costs £4.56 for a pack of 8 colouring crayons. a) What is the difference in cost between 1 pencil sharpener and 1 colouring crayon? b) How much does it cost for 3 boxes of each item altogether?

Solution

Let's solve the problem based on the image.

We are given:

  • The cost of 6 pencil sharpeners is £2.88.
  • The cost of 8 colouring crayons is £4.56.

Part (a): Difference in cost between 1 pencil sharpener and 1 colouring crayon.

  1. Cost per pencil sharpener: Cost per sharpener=£2.886=£0.48\text{Cost per sharpener} = \frac{£2.88}{6} = £0.48

  2. Cost per colouring crayon: Cost per crayon=£4.568=£0.57\text{Cost per crayon} = \frac{£4.56}{8} = £0.57

  3. Difference in cost: Difference=£0.57£0.48=£0.09\text{Difference} = £0.57 - £0.48 = £0.09

So, the difference in cost between 1 pencil sharpener and 1 colouring crayon is £0.09.


Part (b): Total cost for 3 boxes of each item.

  1. Cost for 3 boxes of pencil sharpeners: 3×£2.88=£8.643 \times £2.88 = £8.64

  2. Cost for 3 boxes of colouring crayons: 3×£4.56=£13.683 \times £4.56 = £13.68

  3. Total cost: £8.64+£13.68=£22.32£8.64 + £13.68 = £22.32

So, the total cost for 3 boxes of each item is £22.32.

Would you like further clarification or more details on any step?

Here are 5 questions you can try to expand on these ideas:

  1. If the price of a sharpener increased by 10%, what would be the new cost for 1 sharpener?
  2. If you bought 5 boxes of colouring crayons, how much would it cost?
  3. How much would it cost if you bought 2 sharpeners and 4 crayons?
  4. What percentage of the total cost for 3 boxes is spent on sharpeners?
  5. If you had a £25 budget, how many boxes of each could you buy?

Tip: Always check if the price per item can be simplified to make calculations faster.

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Math Problem Analysis

Mathematical Concepts

Division
Subtraction
Multiplication
Addition

Formulas

Cost per pencil sharpener = Total cost of box / Number of sharpeners
Cost per colouring crayon = Total cost of pack / Number of crayons
Difference = Cost of crayon - Cost of sharpener
Total cost = Cost for 3 boxes of sharpeners + Cost for 3 boxes of crayons

Theorems

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Suitable Grade Level

Grades 4-6