Answer:
$46.2
Step-by-step explanation:
The coat is originally priced higher but is being bought on a discount. You'd purchase 70% of the original price. This means the percent off the original price is 30%. The 30% off gives you $18 in savings. We can write a proportion. We know that $18 is 30% 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{18}{x}[/tex] comparing the 18 to the total price. We then set them equal.
[tex]\frac{30}{100}=\frac{18}{x}[/tex]
We then cross multiply across the equal sign from numerator to the opposite numerator.
30(x)=18(100)
30x=1800
We divide to find x.
x=60.
$60 is the original price of the coat. If we subtract $18 (the savings) from $60 we find the discount price. 60-18=42.
We will pay $42 plus sales tax of 10%. We multiply 0.10(42)=4.2 and add it to the discounted price. 42+4.2=$46.2.
