Unit Rates
Dimensional Analysis
Inverse Proportion
Direct Proportion
Applications of Proportions
100
Find a unit rate for the scenario. Nelson reads 18 books in 6 months.
3 books in 1 month (or 1/3 month per 1 book)
100
300 yd = x in.
10,800 inches
100
4 bricklayers build a wall in 5 days. How many days will it take 10 bricklayers to build the same wall?
2 days
100
9 gallons of ice cream cost $50.40 to make. How much will it cost to make 15 gallons?
$84.00 to make 15 gallons
100
A quilt requires 4 yards of blue fabric for every 7 yards of green fabric. A total of 22 yards is needed. How many yards of each color are needed?
8 yards of blue, 14 yards of green
200
Sadir walks 22.5 miles in 15 days.
1.5 miles in 1 day (or 2/3 days per 1 mile)
200
3.25 miles = ? inches
205,920 inches
200
4 technicians complete a job in 8 days. How many technicians are needed to complete the same work in 16 days?
2 technicians
200
If 15 tickets for a baseball game cost 97.50 DOLLARS, how many tickets can be bought for 71.50 DOLLARS?
11 tickets can be bought for $71.50
200
man’s shadow: 12 ft tree’s shadow: 36 ft man’s height: 6.25 ft tree’s height?
Tree's height = 18.75 feet
300
Which is the better buy: 4 pounds of apricots for 9.00 DOLLARS or 80 ounces for 11.00 DOLLARS? (Remember there are 16 ounces in 1 pound)
80 ounces for $11.00
300
The average respiratory rate for an adult is 16 breaths per minute. About how many times does an adult breath in one week?
161,280 times per week
300
It takes 7 hours for 12 doctors to give routine physical exams to 204 patients. How long will it take if 8 doctors gave the exams?
10.5 hours
300
The Grant family’s 2.5-week vacation cost $1540.15. How much would a 5.5-week vacation cost at the same rate?
$3388.33 for a 5.5 week vacation
300
For every 36 pens purchased, 24 pencils are free. Gina purchased pens and received a total of 480 pens and pencils. How many pens and pencils did Gina receive?
288 pens, 192 pencils
400
Fabric costs $40.50 for 18 yards.
$2.25 for 1 yard (or 4/9 yards for $1)
400
440 yards = ? meters (there are 2.54 cm in 1 inch)
402.336 meters
400
At a cruising speed of 240 kilometers per hour, an airplane reaches its destination in 7 hours. If the same plane reaches the destination in only 3 hours, at what speed did the plane fly?
560 km per hr
400
A plane can travel 5000 kilometers in 6 hours. How far can it travel in 1.5 hours?
1250 kilometers in 1.5 hours
400
Hugh always hangs 9 rectangular canvases next to 11 square canvases. Of 420 rectangular and square canvases, how many of each type of canvas are there?
189 rectangular, 231 square
500
Notebook paper costs $10.56 for 12 packages.
$0.88 for 1 package (or 1 3/22 packages for $1)
500
4.75 qts = ? fluid ounces (1 qt = 4 cups, 8 fluid ounces = 1 cup)
152 fluid ounces
500
When Mrs. Gosnell drives her car at a speed of 60 mph, she gets 18 miles per gallon. If she reduces her speed, she uses less fuel. How many miles per gallon will she get traveling 45 mph?
24 miles per gallon
500
Cynthia earns 59.00 DOLLARS for 4 hours of tutoring. How many hours did she tutor if she earned $368.75?
25 hours
500
A 25-ft tall tree casts a 12.5 ft shadow. At the same time, a 1.5-ft tall flower casts a shadow. How long is the shadow cast by the flower?
0.75 feet long