Question

tax, discount, tip, commission name julia malagolima 9
find the tax, discount, tip, or commission.

1. $1575 computer, 30% off discount =
2. $195 skateboard, 40% off discount =
3. $1887.67 tv, 7% tax tax =
4. $4000 earned, 15% commission commission =
5. $120 shoes, 6% tax tax =
6. $45.50 meal, 20% tip tip =
7. $175 earned, 10% commission commission =
8. $80.85 meal, 15% tip tip =

solve each word problem below. be careful to figure out what the problem is asking!
jim lives in indiana, where the sales tax is 7%. he purchases two items at the store. the two items cost $32.75 and $14.79. how much will jim end up paying the cashier when he checks out?
you go to your favorite store to buy a pair of jeans. the jeans you love are normally $104. fortunately, the store is having a 40% off sale! what will the discounted price of the jeans be (do not worry about the tax)?
there is a 25% discount on movie tickets! each ticket costs $9. how much will one ticket cost when you include the discount?

Explanation:

Step1: Solve the first 8 problems (finding tax, discount, tip, commission)

Problem 1:

To find the discount, we use the formula: Discount = Original Price × Discount Rate.
Original price = $1575, Discount rate = 30% = 0.30.
Discount = \( 1575 \times 0.30 = 472.5 \).

Problem 2:

Discount = Original Price × Discount Rate.
Original price = $195, Discount rate = 40% = 0.40.
Discount = \( 195 \times 0.40 = 78 \).

Problem 3:

To find the tax, we use the formula: Tax = Original Price × Tax Rate.
Original price = $1887.67, Tax rate = 7% = 0.07.
Tax = \( 1887.67 \times 0.07 \approx 132.14 \) (rounded to two decimal places).

Problem 4:

Commission = Earnings × Commission Rate.
Earnings = $4000, Commission rate = 15% = 0.15.
Commission = \( 4000 \times 0.15 = 600 \).

Problem 5:

Tax = Original Price × Tax Rate.
Original price = $120, Tax rate = 6% = 0.06.
Tax = \( 120 \times 0.06 = 7.2 \).

Problem 6:

Tip = Meal Price × Tip Rate.
Meal price = $45.50, Tip rate = 20% = 0.20.
Tip = \( 45.50 \times 0.20 = 9.1 \).

Problem 7:

Commission = Earnings × Commission Rate.
Earnings = $175, Commission rate = 10% = 0.10.
Commission = \( 175 \times 0.10 = 17.5 \).

Problem 8:

Tip = Meal Price × Tip Rate.
Meal price = $80.85, Tip rate = 15% = 0.15.
Tip = \( 80.85 \times 0.15 \approx 12.13 \) (rounded to two decimal places).

Step2: Solve the word problems

Word Problem 1 (Jim's purchase):

1. First, find the total cost of the two items: \( 32.75 + 14.79 = 47.54 \).
2. Then, find the tax on the total cost: Tax = \( 47.54 \times 0.07 \approx 3.33 \) (rounded to two decimal places).
3. Total amount paid = Total cost + Tax = \( 47.54 + 3.33 = 50.87 \).

Word Problem 2 (Jeans discount):

1. Find the discount: Discount = \( 104 \times 0.40 = 41.6 \).
2. Discounted price = Original price - Discount = \( 104 - 41.6 = 62.4 \).

Word Problem 3 (Movie ticket discount):

1. Find the discount: Discount = \( 9 \times 0.25 = 2.25 \).
2. Discounted price = Original price - Discount = \( 9 - 2.25 = 6.75 \).

Answer:

1. Discount = $\boldsymbol{\$472.50}$

2. Discount = $\boldsymbol{\$78.00}$

3. Tax = $\boldsymbol{\$132.14}$ (approx)

4. Commission = $\boldsymbol{\$600.00}$

5. Tax = $\boldsymbol{\$7.20}$

6. Tip = $\boldsymbol{\$9.10}$

7. Commission = $\boldsymbol{\$17.50}$

8. Tip = $\boldsymbol{\$12.13}$ (approx)

Word Problem 1: Jim pays $\boldsymbol{\$50.87}$

Word Problem 2: Discounted jeans price = $\boldsymbol{\$62.40}$

Word Problem 3: Discounted ticket price = $\boldsymbol{\$6.75}$