Ali bought 8 pears and 6 mangoes.
A mango costs 4 times as much as a pear.
If 2 pears and 1 mango cost £6.60, how much did Ali pay altogether?
Concept 1: Division as sharing equally
- Cost of mango is 4 times the cost of a pear, hence, both fruits do not cost the same.
- As both fruits do not cost the same, it is not right to use £6.60 ÷ 3 (2 pears + 1 mango).
Concept 2: Multiplication
- A mango costs 4 times as much as a pear
Concept 3: Grouping
- 2 pears and 1 mango cost £6.60
6 units → £6.60
1 unit → £6.60 ÷ 6
= £1.10 (Cost of 1 pear)
4 units → 4 x £1.10
= £4.40 (Cost of 1 mango)
- 8 pears 6 mangoes cost ?
1 unit → £6.60 ÷ 6
= £1.10 (Cost of 1 pear)
8 units → 8 x £1.10
= £8.80 (Cost of 8 pears)
24 units → 24 x £1.10
= £26.40 (Cost of 6 mangoes)
Total cost of 8 pears and 6 mangoes
= £8.80 + £26.40
= £35.20
Ali paid £35.20 altogether.