Question #8f53f

1 Answer
Dec 7, 2016

Answer:

The total price Luis paid would be $75.63

Explanation:

First, we need to find the discount to find the sale price of the skateboard. So, we need to find what is 12% of $79.76.

"Percent" or "%" means "out of 100" or "per 100", Therefore 12% can be written as #12/100#.

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:

#n = 12/100 xx $79.76#

#n = ($957.12)/100#

#n = $9.57#

Because the savings is $9.57 we need to subtract this from the original price of $79.76 to get the sales price, let's call it #s#:

#s = $79.76 - $9.57#

#s = $70.19#

We now need to find the total price of the skateboard with sales tax added in. Let's call the Total Price #T#. Then the formula for this is:

#T = s + 7.75%# of #s# where #s# is the sales price which we know is $70.19. And we know from above "7.75% of" can be written as "7.75/100 x". Substituting and solving gives:

#T = $70.19 + 7.75/100 * $70.19#

#T = $70.19 + ($543.97)/100#

#T = $70.19 + $5.44#

#T = $75.63#