zoey made 5 1/2 cups of trail mix for a camping trip. she wants to divide the trail mix into 3/4 cup servings. what size would the servings need to be for 10 people to have a serving
number of 3/4 cup servings = 11/2 ÷ 2=3/4
= 22/3 cups
so each person would get 22/30 cups or appr .73 of a cup
5.5 / 10 = 0.55 cups for each serving
To find the size of servings needed for 10 people, we need to divide the total amount of trail mix by the number of servings.
Zoey made 5 1/2 cups of trail mix, which we can write as 5.5 cups.
Now, we need to find how many servings we can get from 5.5 cups. We can do this by dividing 5.5 by 3/4.
First, let's convert 5.5 to an improper fraction:
5.5 = 5 + 0.5 = 10/2 + 1/2 = 11/2
Now, we can divide 11/2 by 3/4:
11/2 ÷ 3/4 = 11/2 x 4/3
To multiply fractions, we multiply the numerators (top numbers) and the denominators (bottom numbers):
11/2 x 4/3 = (11 x 4) / (2 x 3) = 44/6
To simplify the fraction further, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 2 in this case:
44/6 ÷ 2/2 = 22/3
This result tells us that Zoey's 5 1/2 cups of trail mix can be divided into 22/3 cups servings.
To find the size of the servings needed for 10 people, we divide the total amount by the number of people:
(22/3) cups ÷ 10 = (22 x 1) / (3 x 10) = 22/30
Hence, the servings would need to be 22/30 cups in size for 10 people to have a serving.