Answer:
$80 is the 100% original price
The sale price is $56 with 30% off and $24 in savings.
Step-by-step explanation:
We can write a proportion. We know that $24 is a 30% off discount of an unknown original price. Let's call it x. We write equal ratios of [tex]\frac{30}{100}[/tex] comparing percent and [tex]\frac{24}{x}[/tex] comparing the 24 to the original price. We then set them equal.
[tex]\frac{30}{100}=\frac{24}{x}[/tex]
We then cross multiply across the equal sign from numerator to the opposite numerator.
30(x)=24(100)
30x=2400
We divide to find x.
x=80.
Since we saved $24 as a discount, the sale price would be 80-24=56.