The original price of the shoes was £60
Let [tex]x[/tex] be the original price of the shoes
We know that the original price minus 10% of the original price is equal £54, so we can translate this into an equation: x-10%x = £54. Notice that before solving our equation, is better to convert 10% to decimal so we can simplify our calculations; to do it, we are diving it by 100%:
[tex]\frac{10}{100} =0.1[/tex]
Now we can rewrite our equation and solve for [tex]x[/tex]:
x-10%x = £54
[tex]x-0.1x=54[/tex]
[tex]0.9x=54[/tex]
[tex]x=\frac{54}{0.9}[/tex]
[tex]x=60[/tex]
We can conclude that the original price of the shoes was £60
The original price of the shoe is $60.
Since the normal prices are reduced by 10%, then the selling price will be 90% of the normal price.
Based on the information given, the equation to solve the question will be:
90% × x = $54
0.9 × x = $54
0.9x = $54
x = $54/0.9
x = $60
The original price of the shoe is $60.
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