Question

In a sale, normal prices are reduced by 10%

nathalie bought a pair of shoes in the sale for £54

what was the original price of the shoes

Answer 1

Question

in a sale, normal prices are reduced by 10%

nathalie bought a pair of shoes in the sale for £54

what was the original price of the shoes

Answer

`x = 60`

Step-by-step explanation

`\sf based \: on \: the \: given \: conditions \: write : x = (54)/( 1 - 01)`

`\sf calculate \: the \: sum \: difference: x = (54)/(0.9)`

convert decimal to fraction: x= 54 / 9 / 10

`\sf \: divide \: a \: fraction \: by \: multiplying \: its \: reciprosal : x = 54 * (10)/(9)`

`\sf \: write \: as \: a \: single \: fraction : x = (54 * 10)/(9)`

`\sf \: reduce \: fraction \: to \: the \: lowest \: term \: by \: cancelling \: the \: greatest \:`

`\sf \: common \: factor : x = 6 * 10`

`\sf \: calculate \: the \: product \: or \: quotient : x = 60`

`\sf{ \boxed{answer : x = 60}}`