Percentages Problems
A bakery has decorated 45 cupcakes, which represents 60% of a customer's total order. How many total cupcakes are in the order?
75 cupcakes
Eqn:
0.6x=45
Simplify:
4x + 7y - 2x + 3y
2x + 10y
Convert 3.5 hours into minutes.
Bonus + 50! Also covert to seconds.
210 minutes
12,600 sec
A map has a scale of 1 cm : 15 miles. If two towns are 4 cm apart on the map, how far apart are they in real life?
60 miles
A cyclist rides at a constant rate of 14 miles per hour for 3 hours. How far did they travel?
A pair of headphones is on sale for 20% off, making the new sale price $64. What was the original price of the headphones before the discount?
$80
(0.8x = 64)
Simplify the expression using the distributive property: 5(3a - 4) + 2a
17a - 20
A marathon is exactly 26.2 miles. Using the conversion 1 mile = 1.61 kilometers, convert this distance into kilometers.
42.182 kilometers
A model car is built to a 1:24 scale. If the actual car is 10 feet long, how long is the model car?
5 inches
A family drives 260 miles to a vacation spot. If their average speed is 65 miles per hour, how many hours does the trip take?
4 hours
A rare comic book's value increased from $60 to $84. What is the percent of change?
40% increase
Simplify: 8m - 3(2m - 5)
2m + 15
A snail crawls at a pace of 15 centimeters per minute. What is this speed in meters per hour?
9 meters per hour
A blueprint uses a scale of 1:200. A hallway is 30 cm long on the blueprint. How long is the actual hallway in meters?
60 meters
A student walks 2.5 miles to school and it takes them 50 minutes. What is their average speed in miles per hour?
3 miles per hour
A $120 skateboard is discounted by 25%. A 6% sales tax is then applied to the sale price. What is the final cost?
$95.40
(4x2y - 5xy + 7) - (2x2y + 3xy - 4)
reminder to distribute -1
2x2y - 8xy + 11
A factory machine produces 450 centimeters of ribbon per second. How many meters of ribbon does it produce in 3 minutes?
Hint! There is a DRT element here.
810 meters
A scale model of a rectangular swimming pool has dimensions of 5 cm by 8 cm. The scale is 1 cm : 3 meters. What is the actual area of the swimming pool in square meters?
360 square meters
How long will it take a high-speed boat traveling at 45 miles per hour to travel a distance of 12 miles? Express your answer in minutes.
16 minutes
You buy 2 video games originally priced at $50 each and 3 posters originally priced at $15 each. The games are on sale for 30% off and the posters are 10% off. If the local sales tax is 8%, what is the total final cost of your purchase?
$119.34
2a(3a2 - 4b) - 5b(a - 2b2)
6a3 - 8ab - 5ab + 10b3
A drone flies at a top speed of 40 miles per hour. What is its speed in feet per second? Round to the nearest tenth. (Note: 5,280 feet = 1 mile)
58.7 feet per second
A landscape design is drawn at a 1:120 scale. A rectangular patio on the drawing measures 15 inches by 20 inches. What is the actual area of the patio in square feet?
30,000 square feet
A cheetah can run at 70 miles per hour. If it chases prey across a 300-foot clearing, how many seconds will it take to cross the clearing? Round to the nearest hundredth. (Note: 5,280 feet = 1 mile)
2.92 seconds