Here are the step-by-step solutions for each problem on the worksheet.
1) Sarah's Dinner
*
a) To find the tip, multiply the bill amount by the percentage (as a decimal).
$40 \times 0.25 = 10$
The tip is
$10.
*
b) Add the tip to the original bill to get the total.
$40 + 10 = 50$
The total cost is
$50.
2) Lebron's Shoes
*
a) First, calculate the discount amount. 12% of $149 is:
$149 \times 0.12 = 17.88$
Subtract the discount from the original price:
$149 - 17.88 = 131.12$
The sale price is
$131.12.
*
b) Now calculate the tax on the *sale price*. 7% of $131.12 is:
$131.12 \times 0.07 = 9.1784$ (round to $9.18)
Add the tax to the sale price:
$131.12 + 9.18 = 140.30$
The final price is
$140.30.
3) Cristine's Dress
*
a) Calculate the discount first. 25% of $62 is:
$62 \times 0.25 = 15.50$
Subtract the discount from the original price:
$62 - 15.50 = 46.50$
The sale price is
$46.50.
*
b) Calculate the tax on the sale price. 6% of $46.50 is:
$46.50 \times 0.06 = 2.79$
Add the tax to the sale price:
$46.50 + 2.79 = 49.29$
The final price is
$49.29.
4) Mark's Couch
*
a) Calculate the markup amount. 25% of $2,250 is:
$2,250 \times 0.25 = 562.50$
Add the markup to the original cost:
$2,250 + 562.50 = 2,812.50$
The selling price is
$2,812.50.
*
b) Calculate the tax on the selling price. 7% of $2,812.50 is:
$2,812.50 \times 0.07 = 196.875$ (round to $196.88)
Add the tax to the selling price:
$2,812.50 + 196.88 = 3,009.38$
The final price is
$3,009.38.
5) Mary's Plants
*
a) Find the profit per plant by subtracting the cost from the selling price.
$20 - 12 = 8$
The profit per plant is
$8.
*
b) Multiply the profit per plant by the number of plants sold.
$8 \times 25 = 200$
The total profit is
$200.
6) Quinton's Furniture
*
a) Find the profit per item.
$112 - 85 = 27$
The profit per item is
$27.
*
b) Multiply the profit per item by the number of items sold.
$27 \times 15 = 405$
The total profit is
$405.
7) Jaren's Weight Loss
* First, find out how much weight he lost.
$185 - 170 = 15$ pounds lost.
* Next, divide the weight lost by the starting weight to find the percentage.
$15 \div 185 \approx 0.08108$
* Convert to a percentage and round to the nearest tenth.
$8.1\%$
The percent decrease is
8.1%.
Final Answer:
1a) $10
1b) $50
2a) $131.12
2b) $140.30
3a) $46.50
3b) $49.29
4a) $2,812.50
4b) $3,009.38
5a) $8
5b) $200
6a) $27
6b) $405
7) 8.1%
Parent Tip: Review the logic above to help your child master the concept of 7th grade math sales tax worksheet.
