Step-by-step explanation:
The original price was $16.23
Explanation:
We can rewrite this problem as:
110% of what is $17.85.
"Percent" or "%" means "out of 100" or "per 100", Therefore 110% can be written as
110 x/100
.
When dealing with percents the word "of" means "times" or "to multiply".
Finally, lets call the number we are looking for "n".
Putting this altogether we can write this equation and solve for
n
while keeping the equation balanced:
<em>110/100 × n = $17.85</em>
<em>110/100 × n = $17.85 </em>
<em>110/100 × n = $17.85 100/110 × 110/100 × n = 100/110 × $17.85</em>
<em>110/100 × n = $17.85 100/110 × 110/100 × n = 100/110 × $17.85 </em>
<em>1</em><em>0</em><em>0</em><em>/</em><em>1</em><em>1</em><em>0</em><em> </em><em><</em><em>¬</em><em> </em><em>cross</em><em> out</em><em> </em><em>× </em><em>1</em><em>1</em><em>0</em><em>/</em><em>1</em><em>0</em><em>0</em><em> </em><em><</em><em>¬</em><em> </em><em>cross</em><em> out</em><em> </em><em> </em><em>× n = $ 1785/110</em>
<em>× n = $ 1785/110 </em>
n = $16.23n rounded to the nearest penny.
