Question

Rosa wants to buy a new TV priced at 499.99 The TV is on sale for 15% off but the cashier informs her that if she applies for a store credit card she can have an additional 10% off. How much will Rosa pay after the discounts and 6% tax have been applied? Write and solve an equation to find the final price.

PLEASE ANSWER AS SOON AS POSSIBLE

Answer 1

$405,44

Explanation:

First of all we have to find how much the tv cost after 15% of discount.

we can use this proportion

15 : 100 = x : 499.99

x = (15*499.99)/100 = $74.9985

then we have to subtract the initial value to the value of the discount

499.99-74.9985 = $424,9915

thanks to the card we can apply another 10%

10 : 100 = x : 424,9915

x = (424,9915 *10)/100 = $42,49915

424,9915-42,49915 = $382,49235

now we have to apply taxes

6:100 = x : 382,49235

x = $22,949541

382,49235 + 22,949541 = $405,441891

that can be rewrite as $405,44

If we want to write an equation to solve this problem we can use this

499.99 - (499.99 * 15/100) - 1/10[499.99-(499.99*15/100)] + 6/100{1/10[499.99-(499.99*15/100) = x