Question

Please answer ASAP! The Fergusons decided to book the room at the price that Mrs. Ferguson was given, $2075, because it included breakfast for both of them for the entire stay. The travel agent could not match that price. At the end of the trip, Mr. Ferguson received a bill showing a pre-tax amount of $2075. The tax is 18.5%. When the Fergusons went to check out, they told the front desk that the refrigerator in the room had not worked during the majority of their time there. The hotel decided to give them a 15% discount off the pre-tax amount. Mr. Ferguson says the new total will be $2147.63. He shows Mrs. Ferguson how he found the new total. Since we have to add 18.5% tax and subtract 15% for the discount, this means we will add 3.5% in the end. 18.5 − 15 = 3.5 Therefore, we just need to multiply the cost of the room by 3.5% and add this number to the cost of the room to determine what we owe. , which rounds to $72.63. Add $72.63 to the total $2075 to get $2147.63. Explain why Mr. Ferguson’s calculations are incorrect. What is the correct total? Show two ways to solve this problem. Round your answers to the nearest cent.

Answer 1

So what you should do is
15% off, then add tax or
2075 times 0.85 times 1.185=2090.04 about

you can't just add and subtract percents because they are percents of different things

what he did was
he found 15% of 2075 and 18.5% of 2075 then found the difference and added to 2075 to find his total

what he should have done is
found the discounted price (15% off) then found the tax on that


first way
2075 times 0.15=311.25
2075-311.25=1763.75
1763.75 times 0.185=326.29375
1763.75-326.29375=2090.04

2nd way (easy, if you understand commutative property and stuff)
100-15=85
1+0.185=1.185
2075*0.85*1.185=2090.04


answer should be $2090.04