Using ratio's to divide quantities

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 2

Good morning!

Schedule: 

• Learning goals 
• Introduction questions
• Using ratio's to divide quantities
• Step by step plan
• Work + Blooket

Learning goals 

At the end of this lesson I can:

• Divide quantities by using a ratio
• 
  

To make bara brith for 5 people you need 450 g of dried fruit. How many g of dried fruit do you need for 20 people?

1. 9000 g
2. 22.5 g
3. 1800 g
4. 45000 g

Proportion 

To make bara brith for 5 people you need 450 g of dried fruit. How many g of dried fruit do you need for 20 people? 

people : grams = 5 : 450 = 20 : 1800

20 people : 1800 grams 

So you need 1800 grams for 20 people. 

Using ratio's to divide quantities

  A mother wants to divide ₹100 (indian rupee)  in the ratio 2 : 3 to give to her children Naya and Amar. 

How much does each child receive? 

Using ratio's to divide quantities

  A mother wants to divide ₹100 (indian rupee)  in the ratio 2 : 3 to give to her children Naya and Amar. 

How much does each child receive? 

Answer: 

Naya:  ₹40

Amar :  ₹60 

What to do

If you: 

- Got all of them right                Quietly work on the work on ManageBac

- Got 1 mistake                              Join the explanation of this problem

- Got more than 1 mistake       Join the explanation of this problem and do                                                                       another together

Using ratio's to divide quantities

  A mother wants to divide ₹100 (indian rupee)  in the ratio 2 : 3 to give to her children Naya and Amar. 

How much does each child receive? 

- How many parts does the ratio contain in total? 

- Can you convert the ratio to fractions? 

- Check if your answers add up to ₹100.

Using ratio's to divide quantities

  A mother wants to divide ₹100 (indian rupee)  in the ratio 2 : 3 to give to her children Naya and Amar. 

How much does each child receive? 

The ratio 2 : 5 contains _____________________ parts in total

Naya receives               of the money and Amar receives                  of the money 

of  ₹100   =                                                       of  ₹100 =     

Check : 

Using ratio's to divide quantities

A bag contains 24 sweets. Three friends share the sweets in the ratio of 1:2:3. How many sweets does each person get?

Step 1: Find the total amount of parts.

Step 1: 1 + 2 + 3 = 6 parts

Using ratio's to divide quantities

A bag contains 24 sweets. Three friends share the sweets in the ratio of 1:2:3. How many sweets does each person get?

Step 1: Find the total amount of parts.

Step 2: Convert the ratio into fractions.

Step 1: 1 + 2 + 3 = 6 parts

Step 2: 

Using ratio's to divide quantities

A bag contains 24 sweets. Three friends share the sweets in the ratio of 1:2:3. How many sweets does each person get?

Step 1: Find the total amount of parts.

Step 2: Convert the ratio into fractions.

Step 3: Find the portions by multiplying the fractions with the quantity.

Step 1: 1 + 2 + 3 = 6 parts

Step 2: 

Step 3: 

        of 24 =               of 24 =              of 24 = 

​6​​1​​

​6​​2​​

​6​​3​​

​6​​1​​

​6​​2​​

​6​​3​​

Using ratio's to divide quantities

A bag contains 24 sweets. Three friends share the sweets in the ratio of 1:2:3. How many sweets does each person get?

Step 1: Find the total amount of parts.

Step 2: Convert the ratio into fractions.

Step 3: Find the portions by multiplying the fractions with the quantity.

Step 4: Check if the portions add up to the original quantity. 

Step 1: 1 + 2 + 3 = 6 parts

Step 2: 

Step 3: 

        of 24 =  4           of 24 =  6          of 24 = 12

Step 4:  

​6​​1​​

​6​​2​​

​6​​3​​

​6​​1​​

​6​​2​​

​6​​3​​

Using ratio's to divide quantities

A bag contains 24 sweets. Three friends share the sweets in the ratio of 1:2:3. How many sweets does each person get?

Step 1: Find the total amount of parts.

Step 2: Convert the ratio into fractions.

Step 3: Find the portions by multiplying the fractions with the quantity.

Step 4: Check if the portions add up to the original quantity. 

Step 1: 1 + 2 + 3 = 6 parts

Step 2: 

Step 3: 

        of 24 =  4           of 24 =  6          of 24 = 12

Step 4:  4 + 8 + 12 = 2 

​6​​1​​

​6​​2​​

​6​​3​​

​6​​1​​

​6​​2​​

​6​​3​​

Let's get to work! 

p. 317 : 16F              1, 2, 3, 4, 5, 6

Done? 

"Ratios Challenging word problems"

on ManageBac

                                  

Homework(learning)

MyiMaths : 

- Ratio dividing 1

- Ratio dividing 2