Ratios and Unit Rates
Solving Proportions
Applications of Proportions
Potpurri
100
The ratio of faculty members to students at a college is 1:15. There are 675 students. How many faculty members are there?
45 faculty members
100
3/z=1/8
z=24
100
A forest ranger who is 150cm tall casts a shadow 45cm long. At the same time, a nearby tree casts a shadow 195cm long. Find the height of the tree.
The tree is 650cm tall.
100
This is Mrs. C's favorite football team
The Philadelphia Eagles
200
The ratio of games won to games lost foar. baseball team is 3:2. The team won 18 games. How many games did the team lose?
12 games lost
200
3/9=5/m
m = 15
200
A woman who is 5.5 feet tall casts a shadow 3.5 feet long. At the same time a building casts a shadow 28 feet long. How tall is the building?
The building is 44 feet tall.
200
How many diameters are in a circle?
Infinity!
300
The ratio of the number of bones in the human skull to the number of bones in the ears is 11:3. There are 22 bones in the skull, how many bones are in the ears?
6 bones in the ears
300
5/9=3/w
w= 27/5
300
The length of BC is 19.2 feet
300
In what country did the Christmas Tree originate from?
Germany
400
Takeru Kobayashi of Japan ate 53.5 hot dogs in 12 minutes to win a contest. Find the unit rate in hot dogs per minute. Round to the nearest hundredth.
About 4.46 hot dogs per minute
400
6/(y-3)=2/7
y = 24
400
x = 9 1/3
400
What is the day and date of your Math Final Exam?
Thursday May 28th, 2026
500
Ralf Laue of Germany flipped a pancake 416 times in 120 seconds to set the world record. Find the unit rate in flips per second. Round to the nearest hundredth.
About 3.47 flips per second
500
8/(x+10)=1/12
x = 86
500
FGHJKL ~ MNPQRS
x = 3
500
What kind of room has no windows or doors?
a mushroom!