Part and Whole

Part and Whole

Lesson Objectives:

• Define percentage, rate or percent and base.

• Identify the base, percentage and rate in a problem.

• Find the percentage in a given problem.

Let's Learn

Supposed there are 1800 learners enrolled in ALS Quezon City. Among them, 28% are girls. How many ALS learners are girls?

Let us Identify the rate, base and percentage in the problem.

• The rate is the percent, or the number in a hundredth parts.

• The base is the total, or the whole quantity.

• The percentage is the fraction of the base determined by the rate.

• Formula to get the rate or percent is

• Rate = Percentage / Base X 100%

• Remember this simple formula: P = R x B

The number of girls is 28% of 1800 ALS learners.

• Given are the rate is 28% and base is 1800

• We are looking for the percentage which is the number we are to find.

• Using the P = R x B formula, P = 28% or 28/100 or 0.28 is the rate. We always convert the % to decimal form to be able to solve the problem.

• To Solve: 0.28 x 1800 = 504

• Answer: 504 out of 1800 ALS learners are girls.

Multiple Choice

What is 62% of 88?

• 0.62 x 88

• 62% x 88

Multiple Choice

What is 25% of 88?

• 0.25 x 88 = 200

• 25 x 88 = 2200