A box of cereal states that there are 75 calories in a three fourths 3/4-cup serving. What is the unit rate for calories per cup? How many calories are there in 2 cups of the cereal?

a) The unit rate for calories per cup is 100 calories per cup

b) 200 calories in 2 cups of cereal.

Step-by-step explanation:

A box of cereal states that there are 75 calories in a three fourths 3/4-cup serving.

a) What is the unit rate for calories per cup?

This is calculated as:

3/4 cup = 75 calories

1 cup = x

Cross Multiply

3/4x = 75 calories × 1

x = 75 calories /3/4 cup

x = 75 ÷ 3/4

x = 75 × 4/3

x = 100 calories per cup

The unit rate for calories per cup is 100 calories per cup

b) How many calories are there in 2 cups of the cereal?

From the above question

3/4 cup = 75 calories

2 cups = x

Cross Multiply

3/4x = 75× 2

x = 150 ÷ 3/4

x = 150 × 4/3

x = 200 calories

There are 200 calories in 2 cups of cereal.

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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