Proportional Relationships with Fractions
A circular running track is 1/5 mile long. Elena runs on this track, completing each lap in 1/10 of an hour.
What is Elena’s running speed? Include the unit of measure.
2 miles per hour.
Sara ran 4.2 miles. Her friend ran 75% further than her. How many miles did her friend run?
Calculate 75% of 4.2 miles:
0.75×4.2=3.15 miles0.75×4.2=3.15miles
4.2 miles+3.15 miles=7.35 miles4.2miles+3.15miles=7.35miles
Therefore, Sara's friend ran 7.35 miles.
How much tip should you leave if you want to tip 23% at Applebee's on a $27.31 bill?
$6.28
Macy bought a car for 40,000. The second she drove off the lot it depreciated in value by 28%. How much was the car worth after she drove off the lot?
$28,800 after Macy drove off the lot, having depreciated by 28%.
Name 3 times where you would need to find a % increase.
When finding the amount of...
Tax, tip, markup, commission, appreciation
Emma has a recipe for blueberry muffins. She uses 2 cups of blueberries to make 12 muffins. If Liam follows the same recipe and makes m muffins using b cups of blueberries, which equation represents the relationship between m and b?
m=1/6⋅b
A boat is 10 ft long. The length of a jets ski is 25% shorter than a boat. How long is the jet ski?
0.25×10 ft=2.5 ft
10 ft−2.5 ft=7.5 ft10ft−2.5ft=7.5ft
Therefore, the jet ski is 7.5 feet long.
A video game that usually costs $55 is on sale for 35% off.
How much money will you save on the video game?
you will save $19.25 on the video game with a 35% discount.
A store bought a watch for $20 and sold it for $46.50. What was the percent markup on the watch?
the percent markup on the watch is 132.5%.
Name a time where you would need to find a % decrease.
When finding the amount of...
Bonus points if you can name more than 1
discount, depreciation
Sarah swims in a circular pool that is 1/3 miles in circumference. If she completes each lap in 1/15 of an hour, what is her swimming speed? Include the unit of measure.
Answer: Sarah's swimming speed is 5 miles per hour.
Last years bear population was 340. Now the bear population is 230. What was the percent decrease in bear population?
Percent Decrease≈32.35%
Sam bought an $85.00 jacket for 40% off of the regular price. How much did he pay for the jacket?
$51.00
Trey's dad works at a car dealership. He gets a 3.5% commission on all of his sales. Trey's dad sold $29,000 dollars worth of cars. How much commission will he earn?
Trey's dad will earn a commission of $1,015 on the $29,000 worth of cars he sold.
I estimated 44 people would show up to the party. The actual amount of people at the party was 47.
What is the percent error?
6.38%
Sophia has a recipe for chocolate chip cookies. She uses 2 1/2 cups of chocolate chips to make 24 brownies. Write an equation that represents the relationship between Chocolate chips (CC) and Brownies (B).
CC=5/2⋅B
In 2020 the Schools population was 450 students. In 2021 the schools population grew to 600 students. What was the percent increase in the amount of students?
Percent Increase≈33.33%
Abby's meal originally costs $34. She also has to pay 8% sales tax AND wants to leave a 20% tip. How much will Abby have to pay in total?
$43.52
Target paid $12 for a pair of pants. They will put a 40% on the markup and then sell them to customers.
Target is also having a sale for 15% off all pants.
How much will these pants cost the costumer after the markup and discount?
after the 40% markup and 15% discount, the pants will cost the customer $14.28.
I've always told people I was 5'1. When I went to the doctor yesterday he told me my actual height was 5'3.
What was my percent error?
3.17%
A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice.
How much grape juice would you need to mix with 15/4 quarts of sparkling water?
15/4 quarts of sparkling water.
Amaya ate 45 grapes last week. This week she plans to eat 179 grapes. What is the percent increase in the amount of grapes?
Percent Increase≈297.78%
Kaley was buying a shirt that costs $45. She had a 20% off coupon to use.
In Kaleys state the sales tax is 7%.
After the discount and tax, how much did Kaley pay for the shirt?
after the 20% discount and 7% sales tax, Kaley paid $38.52 for the shirt.
A store buys a shirt for $60, then marks it up by 50%, then offers customers a 20% discount off the marked up price. What price do consumers pay?
consumers will pay $72 for the shirt after the 50% markup and a 20% discount.
The store is having a 15% off sale for the whole store.
The discount price of a hat is $21. What is the regular price?
$24.70.