complete the parts below. Write your answers as whole numbers or fractions in simplest form.
(a)Melissa makes fruit salad using a ratio of 6 blueberries to 14 strawberries. Give two different unit rates using this relationship.
One unit rate:
(Choose one)
for each
(Choose one)
Another unit rate:
(Choose one)
for each
(Choose one)
(b)How many blueberries are needed if 21 strawberries are used?
(a) One unit rate: 6 blueberries for each 14 strawberries
Another unit rate: 3 blueberries for each 7 strawberries
(b) If 21 strawberries are used, the number of blueberries needed can be found by using the ratio of 6 blueberries to 14 strawberries:
(21 strawberries) * (6 blueberries/14 strawberries) = 9 blueberries
(a) One unit rate: 6 blueberries for every 14 strawberries.
Another unit rate: 3 blueberries for every 7 strawberries.
(b) To find the number of blueberries needed if 21 strawberries are used, we can set up a proportion using the unit rate:
6 blueberries / 14 strawberries = x blueberries / 21 strawberries
Cross-multiplying, we get:
14 * x blueberries = 6 * 21 strawberries
Simplifying, we have:
14x = 126
Dividing both sides by 14:
x = 9
Therefore, 9 blueberries are needed if 21 strawberries are used.
(a) To find the unit rate using the given ratio of 6 blueberries to 14 strawberries, we can set up a proportion and solve for one unit of blueberries.
Let's set up the proportion:
6 blueberries / 14 strawberries = x blueberries / y strawberries
To find the first unit rate, we can set y (strawberries) as one and solve for x (blueberries):
6 / 14 = x / 1
Cross multiplying, we get:
14x = 6 * 1
14x = 6
Dividing both sides by 14:
x = 6/14
Simplifying the fraction, we get:
x = 3/7
So, the first unit rate is "3 blueberries for each 7 strawberries."
Now, let's find the second unit rate. We can set x (blueberries) as one and solve for y (strawberries):
6 / 14 = 1 / y
Cross multiplying, we get:
6y = 14 * 1
6y = 14
Dividing both sides by 6:
y = 14/6
Simplifying the fraction, we get:
y = 7/3
So, the second unit rate is "6 blueberries for each 7/3 strawberries."
(b) To determine the number of blueberries needed if 21 strawberries are used, we can use the ratio provided and set up a proportion:
6 blueberries / 14 strawberries = x blueberries / 21 strawberries
Cross multiplying, we get:
14x = 6 * 21
14x = 126
Dividing both sides by 14:
x = 126 / 14
Simplifying the fraction, we get:
x = 9
Therefore, 9 blueberries are needed if 21 strawberries are used.