Simplifying Rates and Ratios in Pre-Algebra

The video tutorial explains how to simplify the ratio of cans of soda to people. It starts by identifying the initial ratio of 92 cans to 28 people and aims to simplify it. The process involves finding the greatest common factor (GCF) of the two numbers by using prime factorization. The GCF is determined to be 4, and both numbers are divided by this factor to simplify the ratio to 23 cans for every 7 people. The tutorial concludes by discussing the interpretation of the simplified ratio.

What is the initial ratio of cans of soda to people?

• 92 cans of soda for every 28 people

• 46 cans of soda for every 14 people

• 14 cans of soda for every 46 people

• 28 cans of soda for every 92 people

What is the first step in simplifying the ratio?

• Find the greatest common factor

• Multiply both numbers by 2

• Divide both numbers by 2

• Subtract the smaller number from the larger number

What is the prime factorization of 92?

• 2 x 2 x 7

• 2 x 2 x 23

• 2 x 46

• 2 x 14

What is the prime factorization of 28?

• 2 x 14

• 2 x 2 x 23

• 2 x 46

• 2 x 2 x 7

What is the greatest common factor of 92 and 28?

• 7

• 2

• 14

• 4

What do you get when you divide 92 by the greatest common factor?

• 46

• 23

• 7

• 14

What do you get when you divide 28 by the greatest common factor?

• 14

• 46

• 7

• 23

What is the simplified ratio of cans of soda to people?

• 14 cans of soda for every 46 people

• 7 cans of soda for every 23 people

• 23 cans of soda for every 7 people

• 46 cans of soda for every 14 people

How can the simplified ratio be interpreted?

• As the number of cans of soda per person

• As the rate at which people consume soda

• As the total number of cans and people

• As the number of people per can of soda