25.01.2023

Jeanette purchased a concert ticket on a web site. The original price of the ticket was $75. She used a coupon to receive a 20% discount. The web site applied a 10% service fee to the discounted price. Jeanette’s ticket was less then the original price by what percent.

. 4

Faq

Mathematics
Step-by-step answer
P Answered by Master
STEP 1:
Find discounted price.
Discounted $= original $ - (original $ * % discount)

Discounted $= $75 - ($75 * 20%)
Discounted $= 75 - 15
Discounted $= $60

STEP 2:
Find discounted $ plus service fee.
Price plus fee= discounted $ + (discounted $ * service fee %)

Price plus fee= $60 + ($60 * 10%)
Price plus fee= 60 + 6
Price plus fee= $66

STEP 3:
Find % change.
% change formula= (new # - original #) ÷ original # x 100

% change= (66-75)÷ 75 x 100
% change= -9 ÷ 75 x 100
% change= -0.12 x 100
% change= -12%

***the negative indicates a decrease

ANSWER: Her ticket was less than the original by 12%.

Hope this helps! :)
Mathematics
Step-by-step answer
P Answered by Specialist

Jeannette's ticket was less than the original pice by 30%

Step-by-step explanation:

original price = $75

percentage discount = 20% of original price = 20% of $75

discounted price = \frac{20}{100} \times\ 75\ =\ 15

discounted price = $15

website service fee = 10% of original price

website service fee = \frac{10}{100}\times 75 = \$7.5

New discounted price = discount price + website service fee

= 15 + 7.5 = $22.5

Next, let us calculate what percentage of the original price that will give the new discount price.

Let the percentage of the original price = x%

x% of 75 = $22.5

\frac{x}{100} \times\ 75\ = 22.5\\\\\frac{75x}{100} = 22.5\\\\75x = 2250\\\\x = \frac{2250}{75} \\\\x = 30

Therefore, Jeannette's ticket was less than the original pice by 30%

Mathematics
Step-by-step answer
P Answered by Specialist
STEP 1:
Find discounted price.
Discounted $= original $ - (original $ * % discount)

Discounted $= $75 - ($75 * 20%)
Discounted $= 75 - 15
Discounted $= $60

STEP 2:
Find discounted $ plus service fee.
Price plus fee= discounted $ + (discounted $ * service fee %)

Price plus fee= $60 + ($60 * 10%)
Price plus fee= 60 + 6
Price plus fee= $66

STEP 3:
Find % change.
% change formula= (new # - original #) ÷ original # x 100

% change= (66-75)÷ 75 x 100
% change= -9 ÷ 75 x 100
% change= -0.12 x 100
% change= -12%

***the negative indicates a decrease

ANSWER: Her ticket was less than the original by 12%.

Hope this helps! :)
Mathematics
Step-by-step answer
P Answered by Specialist
If the original price is $75 and a 20% coupon was used then the price of the ticket is 80% of the original price and so:

75 \times 0.80 = 60
Then a 10% service fee we have:

60(1 + 0.10) = 60(1.10) = 66
So the final price paid is $66. By what percent less we will use the percent difference formula:

\frac{75 - 66}{75}  \times 100 = 12
Therefore the price is 12% less than the original price of $75.
Mathematics
Step-by-step answer
P Answered by PhD
The problem says that the original price of the ticket was $75 and Jeanette used a coupon code to receive a 20% discount. So, you have:
 
 20%=20/100=0.20
 75$x.0.20=15$
 
 The price when she received a 20% discount was:
 
 75$-15$=60$
 
 Then, the web site applied a 10% service fee to the discounted price, so you have:
 
 10/100=0.10
 75$x0.10=7.5$
 60$+7.5$=67.5$
 
 So, if 75$ is the 100% of the price, what percentage represents 67.5$?
 
 75$100%
 67.5$x
 
 x=67.5x100/75
 x=90%
 
 Then, you obtain:
 
 100%-90%=10%
 
 Jeanette’s ticket was less than the original price by what percent?
 
 The answer is: 10%
Mathematics
Step-by-step answer
P Answered by Specialist
Hey there! :D

Subtract 20% by 10%, because it is asking how much less than the original price was by what percent. 

20%-10%= 10%

The ticket was 10% less than the original ticket.

 I hope this helps!
~kaikers
Mathematics
Step-by-step answer
P Answered by PhD

Jeanette’s ticket was less than the original price by 12 percent

Step-by-step explanation:

1. Let's calculate the 20% discount price Jeanette received:

75 - 0.2 * 75 = 75 - 15 = $ 60

The discounted price is $ 60

2. Let's calculate the 10% service fee to the discounted price:

60 + 0.1 * 60 = 60 + 6 = $ 66

The price including the service fee is $ 66

3. Finally, let's calculate the less percentage than the original price:

Let's use the Direct Rule of Three, this way:

Price     Percentage

75              100

66                x

75x = 66 * 100

75x = 6,600

x = 6,600/75

x = 88

Less percentage = 100 - 88 = 12%

Jeanette’s ticket was less than the original price by 12 percent

Mathematics
Step-by-step answer
P Answered by Master
If the original price is $75 and a 20% coupon was used then the price of the ticket is 80% of the original price and so:

75 \times 0.80 = 60
Then a 10% service fee we have:

60(1 + 0.10) = 60(1.10) = 66
So the final price paid is $66. By what percent less we will use the percent difference formula:

\frac{75 - 66}{75}  \times 100 = 12
Therefore the price is 12% less than the original price of $75.
Mathematics
Step-by-step answer
P Answered by PhD

Jeanette’s ticket was less than the original price by 12 percent

Step-by-step explanation:

1. Let's calculate the 20% discount price Jeanette received:

75 - 0.2 * 75 = 75 - 15 = $ 60

The discounted price is $ 60

2. Let's calculate the 10% service fee to the discounted price:

60 + 0.1 * 60 = 60 + 6 = $ 66

The price including the service fee is $ 66

3. Finally, let's calculate the less percentage than the original price:

Let's use the Direct Rule of Three, this way:

Price     Percentage

75              100

66                x

75x = 66 * 100

75x = 6,600

x = 6,600/75

x = 88

Less percentage = 100 - 88 = 12%

Jeanette’s ticket was less than the original price by 12 percent

Mathematics
Step-by-step answer
P Answered by PhD

12%

Step-by-step explanation:

Her discounted price was 100% - 20% = 80% of the original price. The service fee made it be 100% + 10% = 110% of that, so her final price was ...

... 110% × 80% = 88%

of the original ticket price.

This represents a discount of 100% - 88% = 12% from the original.

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