Granola
6 cups rolled oats
2 cups mixed nuts
1
2
cup sesame seeds
1 cup dried cranberries
1 cup dried unsweetened coconut
1
2
cup honey
What is the ratio of cups of mixed nuts to the total number of cups of granola?
The ratio of cups of mixed nuts to cups of granola is
to
.
The ratio of cups of mixed nuts to the total number of cups of granola is 2:9.
Granola
6 cups rolled oats
2 cups mixed nuts
1
2
cup sesame seeds
1 cup dried cranberries
1 cup dried unsweetened coconut
1
2
cup honey
What is the ratio of cups of mixed nuts to the total number of cups of granola?
The ratio of cups of mixed nuts to cups of granola is
2 to ?
To find the total number of cups of granola, we need to add up all the ingredients.
6 cups rolled oats + 2 cups mixed nuts + 1/2 cup sesame seeds + 1 cup dried cranberries + 1 cup dried unsweetened coconut + 1/2 cup honey = ? cups of granola
6 + 2 + 1/2 + 1 + 1 + 1/2 = 11 cups of granola
Now we can set up the ratio of cups of mixed nuts to cups of granola:
2 : 11
Which are examples of unit rates? Check all that apply.
100 students for every 2 buses
1 teacher per 25 students
4 pencils for each student
8 students per team
The examples of unit rates are:
1 teacher per 25 students
4 pencils for each student
A 2-column table with 4 rows. Column 1 is labeled Miles Traveled with entries 48, a, b, c. Column 2 is labeled Gallons of Gas Used with entries 1, 2, 3, 4.
A motorcycle can travel 48 miles for every gallon of gas used.
Use the unit rate to complete the table for the miles traveled by a motorcycle.
a =
✔ 96
b =
c =
Since a motorcycle can travel 48 miles for every gallon of gas used, we can use this unit rate to determine the values for entries a, b, and c in the table.
a = 48 x 2 = 96
b = 48 x 3 = 144
c = 48 x 4 = 192
A 2-column table with 4 rows. Column 1 is labeled Miles Traveled with entries 30.5, 61, x, 122. Column 2 is labeled Gallons of Gas Used with entries 1, 2, 3, 4.
A different car can travel 30.5 miles for every gallon of gas used.
Use proportional reasoning to find the value of x that completes the table showing this relationship.
x =
If the car can travel 30.5 miles for every gallon of gas used, we can use proportional reasoning to find the value of x.
30.5 miles = 1 gallon
x miles = 2 gallons
To find the value of x, we can set up a proportion:
30.5/1 = x/2
Cross-multiplying, we get:
30.5 * 2 = x * 1
61 = x
The value of x that completes the table is 61.
A basketball player averages 13.5 points per game. Use this rate to find the value of x, the number of points scored in 7 games.
A 2-column table with 4 rows. Column 1 is labeled Number of Points with entries 13.5, 40.5, 67.5, x. Column 2 is labeled Number of Games with entries 1, 3, 5, 7.
x =
points
To find the value of x, which represents the number of points scored in 7 games, we can use the given average rate of 13.5 points per game.
Since the rate is 13.5 points per game, we can set up a proportion:
13.5 points = 1 game
x points = 7 games
To find the value of x, we can set up the following proportion:
13.5/1 = x/7
Cross-multiplying, we get:
13.5 * 7 = x * 1
94.5 = x
Therefore, the value of x is 94.5 points.
A basketball player averages 12.5 points per game. There are 24 games in a season. At this rate, how many points would the player score in an entire season?
In the entire season, the basketball player would score
points.
To find the number of points the player would score in an entire season, we can multiply the average points per game by the total number of games in the season.
Average points per game = 12.5 points
Number of games in a season = 24 games
Number of points scored in an entire season = Average points per game x Number of games in a season
= 12.5 points/game x 24 games
= 300 points
Therefore, in an entire season, the basketball player would score 300 points.