Question

Work out the following sheet below

Answer 1

a) 6

b) 38p

Explanation:

p = pence

= penny

£ = Sterling pound

Step I:

Make sure the unit of the currency is consistent throughout the question.

Either convert p to £ OR £ to p

Conversion rate applied:

1 £ = 100 p

∴Unit multipliers:
`(100p)/(1 Sterling Pound)` OR
`(1 Sterling Pound)/(100p)`

In the calculation steps below, the above unit multipliers will be used and arranged in such a way that it cancels out the current unit and assigns the answer with the desired unit:

Let’s convert p to £:

77p =
`(77p)` × (
`(1SterlingPound)/(100p)`)

= £0.77

Step II:

1 mango = £0.77

x mangoes = £5.00

Cross-multiplication is applied:

(£5.00)(1 mango) = (£0.77)(x mangoes)

x needs to be isolated and made the subject of the equation:

∴ x mangoes =
`((5.00)(1))/(0.77)`

x = 6.493

a) ∴The greatest number of mangoes you can buy is 6

b) Change you should receive = £5.00 - [(£0.77)(6)]

= £5.00 - £4.62

= (£0.38) × (
`(100p)/(1 Sterling Pound)`)

= 38p