Luis wants to buy a skateboard that usually sells for $79.99.all merchandise is discounted by 12%. what is the total cost of the skate board if luis has to pay a state sales tax of 6.75%?

show your work

 first, the skateboard costs $79.99. The skateboard costs 12% less with discount now so you have to pay 12% less. 

You start by finding 12% of 79.99. This can be easily done by hand or with a calculator. Do 0.12 times 79.99. The answer is 9.5988. Since its 12% less we now subtract $9.5988 from $79.99. We get $70.3912. So this is the discounted price.

Now for the state sales tax. The sales tax is 6.75% which is equal to 0.0675. Like we did before, we multiplied .0675 by the value we wanted this percent of. But we can do a short way instead. Instead of getting 6.75% of $70.3912 and then adding it back to $70.3912, we can multiply $70.3912  by 1.0675 and this will do all the work for us. 

So now, do $70.3912  times 1.0675 and you will have the answer. The answer is $75.142606, but wait, now we will round this to hundredths place as cents place ends their, and so the final answer will be $75.14.

79.99X.12=10.00
79.99-10=69.99
69.99X.0675=4.72
69.99+4.72=74.71

The answer is $74.71