Ratios
Write 6 girls to 8 boys as a ratio in 3 ways.
6/8, 6 to 8, 6:8
If Mimi drives 50 miles in 2 hours, what is her rate (speed per hour)?
What is 25 miles per hour
What is 40% of 500
200
(.40 x 500 = 200)
Convert 55 mg to grams.
.055 grams
KHDUDCM
Move decimal point 3 places to the left from m to u (units)
Anna earns $12 in 3 hours. How much does she make in 5 hours?
$20
Write 3 equivalent ratios for 3/8
6/16, 9/27, 12/32...
If James types 120 words per 3 minutes, what is his rate of typing?
What is 40 words per minute
Convert to a percent:
5/8
62.5%
5 divided by 8 = .625
To convert to a percent, multiply by 100
Convert 3.3 kilograms to centigrams.
330,000 centigrams
KHDUDCM
Move from k to c, 5 spaces to the right from the decimal.
Ramon gets 10 points in 4 games. How many does he get in 6 games?
15 points
What is an equivalent ratio for 12/16
Examples:
3/4, 6/8, 24/32
*Remember that you can either multiply OR divide by 1 in the form of a number over itself to form the equivalent ratio.
If 10 bags of Hot Cheetos cost $3.50, then how much does 1 cost?
What is $0.35
John purchased a container of soda that contains 360 calories. 80% of calories come from carbohydrates. How many calories are NOT from carbohydrates?
72 calories
.80 x 360 = 288 calories from carbohydrates
360 total calories - 288 calories from carbohydrates = 72 not from carbohydrates
Jay bought a box of chocolate that weighed 4 hectograms. Christian bought a box of chocolate that weighed 460 grams. How many more grams of chocolate did Christian purchase?
40 more grams
KHDUDCM
4 hectograms = 400 grams
460 - 400 = 40 more grams
Tom ate 36 M and M's. This is 60% of the bag. How many M and M's were originally in the bag?
60 M and M's were originally in the bag
Think and rewrite as an equation:
36 is 60% of what?
36 = .60x
x = 60
Jack counted 30 red bikes and 20 blue bikes at school. Sara counted 60 blue bikes. If school has an equivalent ratio of red to blue, how many red bikes did Sara count?
90 red bikes
30/20 = x/60
30 red = x
20 blue = 60 blue
30 x 60 = 180
180 = 20 x
x = 90
Which is the better deal $20 for 5 t-shirts or $24 for 8 t-shirts? (You need to calculate the unit rate of each to find the price per shirt).
$24 for 8 t-shirts (rate of $3 per shirt) is the better deal.
$20 divided by 5 = $4 per shirt
$4>$3, so the shirt that cost $3 is the better deal
Elise bought 60 skirts at a clothing store. Of the skirts, 40% were yellow and 1/3 were green. How many of the skirts were neither yellow nor green?
16 skirts were neither yellow nor green
60 x .40 = 24 skirts were yellow60 x 1/3 = 20 skirts were green
24 + 20 = 44
60 - 44 = 16 skirts were neither yellow nor green
Mrs. Krueger ate 30 grams of cookies, 40 grams of ice cream, and 50 grams of fruit. How much food did she eat in kilograms?
.120 kilograms
30 + 40 + 50 = 120 grams
KHDUDCM
Move the decimal point 3 places to the left to convert to kilograms
.120 kilograms
Julia texts 60 words in 4 minutes, then she texts 45 words in how many minutes?
3 minutes
What are the 2 ways to write an equivalent ratio?
A Adding
B Subtracting
C Multiplying
D Dividing
What is C, D
Multiplying and Dividing
What is a unit rate?
a ratio where the bottom number is a 1
During elections for student council, 25% of the students voted for Pat and 75% of the students voted for Roger. 400 students voted in total. How many more students voted for Roger than Pat?
200 more students
400 x .25 = 100 voted for Pat
400 x .75 = 300 voted for Roger
300 - 100 = 200 more voted for Roger
Luke cut a piece of rope that was 26 feet long. James cut a piece of rope that was 7 yards long. If Luke wants his rope to be the same length as James', how many feet will he need to cut off of his rope?
5 feet need to be cut off
*Convert yards to feet so you can compare sizes
7 yards = 21 feet (7 x 3)
26 - 21 = 5
Hunter rode his bike 3 miles in 20 minutes. How many miles does he ride in 2.5 hours?
22.5 miles
2.5 hours = 150 minutes
3/20 = x/150
20x = 450
x = 22.5 miles