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LESSON 3
pARTITIVE PROPORTION
wHAT IS PARTITIVE PROPORTION
If a given whole is to be divided into several parts given a specific ratio.
EXAMPLE
Three children decided to give their grandmother a gift for her 70th birthday. They decided to divide the expenses in the ratio 2:3:4. How much will each one pay if the cost of the gift is P900 only?
Info
Solution
1. Add the ratio 2 + 3 + 4 = 9 2. Divide the sum by the given number. 900 divided by 9 = 100 3. Substitute the ratios to the quotient. 100 x 2= Php 200 100 x 3= Php 300 100 x 4= Php 400
EXAMPLE
Two numbers are in the ratio 2:5. If the sum of the two numbers is 56, what are the two numbers?
1. Add the ratio 2 + 5=7 2. Divide the sum by the given number. 56 divided by 7 = 8 3. Substitute the ratios to the quotient. 8 x 2= 16 8 x 5= 40
It's your TURN
Ruby, Rose, and Anne agreed to divide their expenses in their project in the ratio 1:2:3. If the total expenses are Php 360. How much should each pay?
It's your TURN
Divide a 72-m rope into three parts with a ratio 2:3:4. What is the measure of each rope?
It's your TURN
There are 90 books on a shelf. These books are literature, statistics, and politics. Carlo wants to organize them into three divisions with a ratio 1:3:5 respectively. How many statistics books are there?
1. Php 60-RubyPhp 120-RosePhp 180-Anne
ANSWERS
2. 16 m 24 m 32 m
3. 30 books
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Transcript
Welcome back
LESSON 3
pARTITIVE PROPORTION
wHAT IS PARTITIVE PROPORTION
If a given whole is to be divided into several parts given a specific ratio.
EXAMPLE
Three children decided to give their grandmother a gift for her 70th birthday. They decided to divide the expenses in the ratio 2:3:4. How much will each one pay if the cost of the gift is P900 only?
Info
Solution
1. Add the ratio 2 + 3 + 4 = 9 2. Divide the sum by the given number. 900 divided by 9 = 100 3. Substitute the ratios to the quotient. 100 x 2= Php 200 100 x 3= Php 300 100 x 4= Php 400
EXAMPLE
Two numbers are in the ratio 2:5. If the sum of the two numbers is 56, what are the two numbers?
1. Add the ratio 2 + 5=7 2. Divide the sum by the given number. 56 divided by 7 = 8 3. Substitute the ratios to the quotient. 8 x 2= 16 8 x 5= 40
It's your TURN
Ruby, Rose, and Anne agreed to divide their expenses in their project in the ratio 1:2:3. If the total expenses are Php 360. How much should each pay?
It's your TURN
Divide a 72-m rope into three parts with a ratio 2:3:4. What is the measure of each rope?
It's your TURN
There are 90 books on a shelf. These books are literature, statistics, and politics. Carlo wants to organize them into three divisions with a ratio 1:3:5 respectively. How many statistics books are there?
1. Php 60-RubyPhp 120-RosePhp 180-Anne
ANSWERS
2. 16 m 24 m 32 m
3. 30 books