A store is having a 20% off sale. It gives an additional 10% off if the item is still above 100 dollars after the first discount. A jacket cost 149.99 will you get the second discount and if so, how many dollars will you save in total?
Yes; 43.00
yes; 14.49
no
yes; 30.00
after first discount:
cost = .8(149.99) = 119.99
so yes, you qualify for the second discount.
cost after second discount = .9(119.99)
= 107.99
total savings = 149.99 - 107.99 = $42.00
none of the choices are correct, unless you have a typo in a)
149.99 * 0.8 = 119.99
119.99 * 0.9 = 107.99
To determine if the second discount applies and how much you will save in total, we need to follow these steps:
Step 1: Calculate the first discount
The jacket originally costs $149.99, and the store is offering a 20% off sale. To calculate the amount of the first discount, multiply the original price by the discount percentage:
First discount = $149.99 * 0.20 = $29.998
Step 2: Calculate the new price after the first discount
To determine the new price after the first discount, subtract the discount amount from the original price:
New price = $149.99 - $29.998 = $119.992 (rounded to 2 decimal places)
Step 3: Determine if the second discount applies
The condition for the second discount to apply is if the new price after the first discount is still above $100. In this case, the new price ($119.992) is above $100, so the second discount applies.
Step 4: Calculate the second discount
The second discount is an additional 10% off the new price after the first discount ($119.992). To calculate this discount, multiply the new price by the discount percentage:
Second discount = $119.992 * 0.10 = $11.9992 (rounded to 2 decimal places)
Step 5: Calculate the total savings
To calculate the total savings, add the amount of the first discount and the amount of the second discount:
Total savings = First discount + Second discount = $29.998 + $11.9992 = $41.9972 (rounded to 2 decimal places)
Therefore, you will get the second discount and save $41.99 in total. Hence, the correct answer is "yes; 41.99".