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

Question

asked Sep 17, 2022 29.5k views

1 Answer

Jfly · Answer 1 · 2022-09-22T02:59:45+0000

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

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

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

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

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

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

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

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