1. At the hardware store, you purchased a box of nails originally worth $17. You had a coupon that took off 20% from the nails. Sales tax is 6%. What is the total cost for the nails?
2. Suppose we are at a restaurant and have ordered $29.31 worth of food and $9.72 worth of beverages. The sales tax rate is 6% and we wish to leave a 20% tip. How much is the total we will pay for this meal including tip?
17 * 0.80 * 1.06 = ?
Assuming you tip on the full price, including tax, that would be
(29.21 + 9.72) * 1.06 * 1.20 = ?
This is a test question. No more answers please.
1. To find the total cost for the nails, we need to calculate the discount and sales tax separately.
Step 1: Calculate the discount:
Multiply the original cost of the nails by the discount percentage (20%):
$17 * 0.2 = $3.40
Step 2: Calculate the discounted price:
Subtract the discount from the original cost:
$17 - $3.40 = $13.60
Step 3: Calculate the sales tax:
Multiply the discounted price by the sales tax rate (6%):
$13.60 * 0.06 = $0.82
Step 4: Calculate the total cost:
Add the discounted price and the sales tax:
$13.60 + $0.82 = $14.42
Therefore, the total cost for the nails, including the discount and sales tax, is $14.42.
2. To find the total cost of the meal including tip, we need to calculate the sales tax, tip amount, and add them to the total amount of food and beverages.
Step 1: Calculate the sales tax:
Calculate the sales tax for the food:
$29.31 * 0.06 = $1.76
Calculate the sales tax for the beverages:
$9.72 * 0.06 = $0.58
Add the sales tax for the food and beverages together:
$1.76 + $0.58 = $2.34
Step 2: Calculate the total amount for the meal:
Add the cost of the food, beverages, and sales tax:
$29.31 + $9.72 + $2.34 = $41.37
Step 3: Calculate the tip:
Multiply the total amount for the meal by the tip percentage (20%):
$41.37 * 0.2 = $8.27
Step 4: Calculate the total cost including tip:
Add the total amount for the meal and the tip:
$41.37 + $8.27 = $49.64
Therefore, the total cost for the meal, including the sales tax and tip, is $49.64.
To solve these problems, we will break them down into smaller steps. We will explain how to calculate the discount, the sales tax, and the tip, and then combine all the values to find the total cost.
1. Calculation for the nails:
- Start with the original price of the nails, which is $17.
- Calculate the discount by multiplying the original price ($17) by the discount rate (20% or 0.2): $17 * 0.2 = $3.40.
- Subtract the discount from the original price to find the discounted price: $17 - $3.40 = $13.60.
2. Calculation for the meal at the restaurant:
- Add up the cost of food and beverages: $29.31 + $9.72 = $39.03.
- Calculate the sales tax by multiplying the total cost of the meal ($39.03) by the sales tax rate (6% or 0.06): $39.03 * 0.06 = $2.34.
- Calculate the tip by multiplying the total cost of the meal ($39.03) by the tip rate (20% or 0.2): $39.03 * 0.2 = $7.81.
To find the total cost:
- Add the discounted price of the nails ($13.60), the sales tax ($2.34), and the tip ($7.81) together: $13.60 + $2.34 + $7.81 = $23.75.
- Therefore, the total cost for the nails is $23.75.
2. To find the total cost for the meal including the tip:
- Add the total cost of the meal ($39.03), the sales tax ($2.34), and the tip ($7.81) together: $39.03 + $2.34 + $7.81 = $49.18.
- Therefore, the total amount to be paid for the meal, including the tip, is $49.18.