Understanding Proportions in Baking

The video tutorial explains how to solve a problem involving proportions to determine the amount of sugar needed to make 30 cookies, given a recipe for 24 cookies. It involves setting up a proportion, cross-multiplying, simplifying the equation, and converting the result to a mixed number.

What is the initial amount of sugar required to make 24 cookies according to the recipe?

• 1 and 1/2 cups

• 1 and 3/4 cups

• 2 cups

• 1 cup

What is the unknown variable used to represent the amount of sugar needed for 30 cookies?

• y

• z

• x

• a

What mathematical operation is used to solve the proportion for x?

• Division

• Subtraction

• Cross-multiplication

• Addition

What common factor is used to simplify the equation 24x = 105?

• 7

• 2

• 5

• 3

What method is used instead of division to solve for x in the equation?

• Cross-multiplication

• Reciprocal multiplication

• Subtraction

• Addition

What is the purpose of finding a common factor in the equation 24x = 105?

• To change the equation

• To make the equation more complex

• To eliminate the variable

• To simplify the equation

What is the final amount of sugar needed to make 30 cookies in mixed number form?

• 2 and 3/16 cups

• 2 and 1/4 cups

• 2 and 3/4 cups

• 2 and 1/2 cups

How many 16s are there in 35 when converting the improper fraction to a mixed number?

• 3

• 2

• 4

• 1

What is the remainder when 35 is divided by 16?

• 4

• 3

• 2

• 1

What is the first step in converting an improper fraction to a mixed number?

• Divide the numerator by the denominator

• Subtract the denominator from the numerator

• Add the numerator and the denominator

• Multiply the numerator by the denominator