Respuesta :
Answer:
Question 1: Customer #2 will leave the largest tip
Question 2: Customer #2 has the smallest total bill, including tax and tip
Question 3: Customer #3's total bill is approximately 10% less than Customer #1's total bill
Question 4: The best expression represents the scenario is 1.06 b + 0.16(1.06 b) ⇒ a
Step-by-step explanation:
Let us solve it step by step
Customer #1:
∵ The bill, before sales tax has been added, is $12.95
∵ The sales tax is 6%
- Multiply 6% by the 12.95 to find the sales tax amount
∴ The sales tax = [tex]\frac{6}{100}[/tex] × 12.95 = $0.777
- Add it the bill
∴ The bill after the sales tax = 12.95 + 0.777 = $13.727
∵ He plans to leave a 15% tip, calculated after the tax has been added
- Multiply 15% by 13.727 to find the tips
∴ The tips = [tex]\frac{15}{100}[/tex] × 13.727 = $2.06
- Now add the tips to the bill after sales tax
∴ The total bill = 13.73 + 2.06 = $15.79
Customer #2:
∵ The bill, after sales tax has been added, is $11.65
∵ The sales tax is 6%
- Multiply 6% by the 11.65 to find the sales tax amount
∴ The sales tax = [tex]\frac{6}{100}[/tex] × x = 0.06 x where x is the bill before tax
- Equate the sum of x and 0.06 x by 11.65
∴ x + 0.06 x = 11.65
∴ 1.06 x = 11.65
- Divide both sides by 1.06
∴ x = 10.99
∴ The bill before sales tax = $10.99
∵ He plans to leave a 20% tip, calculated before the tax was added
- Multiply 20% by 10.99 to find the tips
∴ The tips = [tex]\frac{20}{100}[/tex] × 10.99 = $2.20
- Now add the tips to the bill after sales tax
∴ The total bill = 11.65 + 2.20 = $13.85
Customer #3:
∵ The bill, before sales tax has been added, is $11.50
∵ The sales tax is 6%
- Multiply 6% by the 11.50 to find the sales tax amount
∴ The sales tax = [tex]\frac{6}{100}[/tex] × 11.50 = $0.69
- Add it the bill
∴ The bill after the sales tax = 12.95 + 0.777 = $13.727
∵ He plans to leave a 18% tip, calculated before the tax is added
- Multiply 18% by 11.50 to find the tips
∴ The tips = [tex]\frac{18}{100}[/tex] × 11.50 = $2.07
- Now add the tips, the tax to the bill
∴ The total bill = 11.50 + 2.07 + 0.69 = $14.26
Now lets answer the questions
Question 1:
∵ Customer #1 will leave $2.06
∵ Customer #2 will leave $2.20
∵ Customer #3 will leave $2.07
∴ Customer #2 will leave the largest tip
Question 2:
∵ Customer #1's total bill is $15.79
∵ Customer #2's total bill is $13.85
∵ Customer #3's total bill is $14.26
∴ Customer #2 has the smallest total bill, including tax and tip
Question 3:
∵ Customer #3's total bill is $14.26
∵ Customer #1's total bill is $15.79
- Find the difference between them
∵ 15.79 - 14.26 = 1.53
∴ Customer #3 is less than Customer #1 by $1.53
- Find the percentage of 1.53 from the Customer #1
∵ The percentage = [tex]\frac{1.53}{15.79}[/tex] × 100% = 9.69% ≅ 10%
∴ Customer #3's total bill is approximately 10% less than Customer #1's total bill
Question 4:
∵ The total bill is b
∵ It is first recalculated to include 6% sales tax
∴ The bill after the tax = b + 6% of b
∴ The bill after the tax = b + [tex]\frac{6}{100}[/tex] × b
∴ The bill after the tax = b + 0.06 b
∴ The bill after the tax = 1.06 b
∵ It is recalculated to include a 16% tip
- That means add 16% of b to 1.06 b
∴ The bill after the tip = 1.06 b + 16% of 1.06
∴ The bill after the tip = 1.06 b + 16% × 1.06
∵ 16% = [tex]\frac{16}{100}[/tex]
∴ The bill after the tip = 1.06 b + 0.16(1.06 b)
∴ The best expression represents the scenario is 1.06 b + 0.16(1.06 b)
Answer:
What the other person said is right.
Step-by-step explanation:
