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47. you treat a friend to dinner. the cost of the food items from the m…

Question

  1. you treat a friend to dinner. the cost of the food items from the menu totals $20.46. the sales tax on the food is 5%. you give a tip of 25% (before tax) for excellent service. a. how much is the sales tax? b. how much is the tip? c. what is the total cost of the dinner?

Explanation:

Step1: Calculate sales - tax amount

The sales - tax rate is 5% or 0.05, and the cost of food is $20.46. The sales - tax amount is calculated by multiplying the cost of food by the sales - tax rate. So, the sales - tax amount $=20.46\times0.05$.
$20.46\times0.05 = 1.023\approx1.02$

Step2: Calculate tip amount

The tip rate is 25% or 0.25, and the cost of food is $20.46. The tip amount is calculated by multiplying the cost of food by the tip rate. So, the tip amount $=20.46\times0.25$.
$20.46\times0.25=5.115\approx5.12$

Step3: Calculate total cost

The total cost of the dinner is the sum of the cost of food, sales - tax, and tip. The cost of food is $20.46, the sales - tax is $1.02, and the tip is $5.12. So, the total cost $=20.46 + 1.02+5.12$.
$20.46+1.02 + 5.12=26.6$

Answer:

a. $1.02
b. $5.12
c. $26.6