The discounted price of a coat is 70% of the origanal price this is a saving of $18 what will be the final cost of the coat after the discount is taken and a sales tax of 10% is added?

$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 comparing percent and comparing the 18 to the total price. We then set them equal.

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.