1. Divide ratios word problem

2. Step to divide a given number by a ratio
Step to divide a given number by a ratio. Step 1: Find total part of ratio A ratio a:b is said to have a total of ‘a+b’ parts in it. ∴ total part of ratio = Sum of terms of ratio Step 2: Find the value of one part by dividing the given number by total part Step 3: Find the value of each term by multiplying term with value of one part

3. Example 1: In a class of 40 students, the ratio of boys to girls is 5:3. Find the number of boys and girls?
Solution:
Given :- No of students in class = 40 , Ratio of boys to girls = 5 : 3
Step 1: 5 : 3 means the first quantity(boys) is 5 parts and the second quantity(girls) is 3 parts and there are totally = 8 equal parts
Step 2: Find the value of 1 part
8 parts = 40 ∴1 part =
Step 3: Find the value of each term
5 part = Number of boys in a class = 5 x 5 = 25
3 part = Number of girls in a class = 5 x 3 = 15
Answer: Number of boys = 25 and Number of girls = 15

4. Example 2: A rope of length 48m is divided in the ratio 4:2
Example 2: A rope of length 48m is divided in the ratio 4:2. Find the length of each part?
Solution:
Given:- Rope length = 48cm , Rope divided in ratio = 4 : 2
Step 1: 4 : 2 means the first quantity is 4 parts and the second quantity is 2 parts and there are totally = 6 equal parts
Step 2: Find the value of 1 part
6 parts = 48 ∴1 part =
Step 3: Find the value of each term
4 part = 8 x 4 = 32 2 part = 8 x 2 = 16
Answer: rope of length 48m is divided in the ratio 4:2 are 32m and 16m

5. Example 3: Vidhya has 35 chocolates and wants to divide it between Tharani and Lavanya in the ratio 4:3.Who will get more chocolates?
Solution:
Given :- chocolates= , chocolate divided between
Tharani and Lavanya in the ratio 4:3
Step 1: 4 : 3 means the first quantity(Tharani) is 4 parts and the second quantity(Lavanya) is 3 parts and there are totally = 7 equal parts
Step 2: Find the value of 1 part
7 parts = 35 ∴1 part =
Step 3: Find the value of each term
4 part = Chocolate for Tharani = 5 x 4 = 20
3 part = Chocolate for Lavanya = 5 x 3 = 15
Answer: Tharani will get more chocolate

6. Try these
If Rs.120 is divided among A and B in the ratio 2:4. Find the amount got by both A and B?
Jayasurya earned Rs In which his expenditure and saving amounts are in the ratio 2:3. Find the amount on Savings?