Question

In a sale, normal prices are reduced by 10%

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

$x = 60$

Explanation

$\sf based \: on \: the \: given \: conditions \: write : x = \frac{54}{ 1 - 01}$

$\sf calculate \: the \: sum \: difference: x = \frac{54}{0.9}$

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

$\sf \: divide \: a \: fraction \: by \: multiplying \: its \: reciprosal : x = 54 \times \frac{10}{9}$

$\sf \: write \: as \: a \: single \: fraction : x = \frac{54 \times 10}{9}$

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

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

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

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