Unit Rates
A dog got all 4 of his paws muddy after being outside for just 8 minutes. How long, on average, did it take him to get each paw muddy?
2 minutes
4 / 8 = 1 / x
Mr. Williams makes 3 puns in 10 minutes. How long would it take him to make 12 puns?
40 minutes
3 / 10 = 12 / x
A recipe calls for 1/2 pound of pasta for every 2/7 cup of sauce. How much pasta is needed per cup of sauce?
7/4 pound, or 1 3/4 pound
{1/2}/{2/7} = x / 1
A bag of chips 2/5 full can feed 2/3 of a class. How many bags would be needed to feed 1/2 of a class?
3/10 of a bag
{2/5}/{2/3} = x/{1/2)
Only set up the proportion!
94 is 33% of what number?
94/x = 33/100
12 + (-5)
7
A dog shoved his brother out of the way to get attention from their owner 18 times during the month of June. How many times per day, on average, did he shove his brother?
0.6 times per day, or 3/5
18 / 30 = x / 1
Ms. Wilkinson paints 5 paintings in 10 months. How many paintings does she paint in a year?
6 paintings
5 / 10 = x / 12
A balloon is 1/2 full, and the tank has been filling it for 3/5 of a second. How long would the tank take to fill an empty balloon?
6/5 seconds, or 1 1/5 seconds
{1/2}/{3/5} = 1 / x
A recipe calls for 2 cups of flour for 1 1/4 cups of sugar. How much flour would be needed for 3 cups of sugar?
24/5 cups or 4 4/5 cups
{2}/{1 1/4} = x / 3
What is 48% of 20?
9.6
x / 20 = 48/100
(-4) + (-6)
-10
80 cents
45 / 36 = 1 / x
Mr. Guinn eats 12 Peanut M&Ms in 5 minutes. How long would it take him to finish the pack if the pack contains 42 M&Ms?
17 minutes and 30 seconds
12 / 5 = 42 / x
It takes 2 1/2 yards of thread to make 5/6 of a sock. How much thread, in yards, will be needed to make an entire sock?
3 yards
{2 1/2}/{5/6} = x / 1
It takes 2 1/2 yards of thread to make 5/6 of a sock. How much thread, in feet, will be needed to make a pair of socks?
18 feet
{2 1/2}/{5/6} = x / 2
63 is 60% of what number?
105
63 / x = 60 / 100
5 + (-8)
-3
A 45-pound bag of dog food costs $36. How much dog food, in pounds, can I get for $1?
1.25 pounds
45 / 36 = x / 1
Mrs. Gibbs includes 12 different healthy ingredients in nutritious meals for 3 days. At this rate, how many different ingredients would she need for a week's worth of meals?
28 ingredients
12 / 3 = x / 7
A machine made 3 1/3 pencils in 2 1/2 minutes. How long would it take to make one pencil?
3/4 minute
{3 1/3} /{2 1/2} = 1/x
A recipe calls for 2 2/3 of a cup of flour for 1 1/4 cups of sugar. How much flour would be needed for 3 cups of sugar?
32/5 cups or 6 2/5 cups
{2 2/3}/{1 1/4} = x / 3
161 is what percent of 350?
46%
161 / 350 = x / 100
(-6) + 9
3
AMAZON IS EXPENSIVE! A bag of dog treats on Amazon costs 40% more than what the same bag costs at Walmart. If a bag costs $12 at Walmart, how much does it cost on Amazon?
$16.80
Percent proportion gives you a $4.80 increase, which must be ADDED to $12
x / 12 = 40 / 100