1. Dividing into a given ratio
Thursday, 25 July 2019

2. 3 : 5 = 8 sweets 6 : 10 = 16 sweets 9 : 15 = 24 sweets
Example
Divide 40 Sweets in the ratio 3 : 5
3 : 5
= 8 sweets
6 : 10
= 16 sweets
9 : 15
= 24 sweets
8 parts = 40 sweets
1 parts = 40÷8
3 parts = 5×3
5 parts = 5×5
12 : 20
= 32 sweets
15 : 25
= 40 sweets
=5 sweets
=15 sweets
=25 sweets

3. 5 parts = £6000 1 parts = 6000÷5 2 parts = 1200×2 =£1200
Example
Divide £6000 in the ratio 2 : 3
5 parts = £6000
1 parts = 6000÷5
2 parts = 1200×2
3 parts = 1200×3
=£1200
=£2400
=£3600

4. 12 parts = 300 votes 1 parts = 300÷12 Liberal = 3 parts = 25×3
Example
At a local village Election 300 people voted Labour, Conservative or Liberal in the ratio 5 : 4 : 3.
How many people voted Liberal?
12 parts = 300 votes
1 parts = 300÷12
Liberal = 3 parts = 25×3
=25 votes
=75 votes

5. Example
A Sum of money is divided between Alan and Bilal in the ratio 2 : 5. If Bilal receives £260 how much will Alan receive.
Bilal = 5 parts = £260
1 parts = 260÷5
Alan = 2 parts = 52×2
=£52
=£104

6. Example
Two lines have lengths in the ratio 7 : 2. If the longer line is 42 cm long, find the length of the other line.
Longer line = 7 parts = 42 cm
1 parts = 42÷7
Shorter Length = 2 parts = 6×2
=6 cm
=12 cm

7. Example
For every 9 teenagers who like pop music there are 2 that does not.
In a youth club of 187 members, how many do not like pop music?
Ratio for those who like pop music to those who do not = 9 : 2
11 parts = 187
1 part = 187÷11
Number who do not like pop music = 2 parts = 17×2
=17
=34

8. Example
Ali, Brian and Cathy share some sweets in the ratio 1:3:7
Cathy got 30 more sweets than Ali.
How many sweets did each person get?
Difference between Cathy and Ali’s share is 6 parts
6 parts = 30
1 parts = 30÷6
Brian = 3 parts = 5×3
Cathy = 7 parts = 5×7
=5 sweets = Ali
=15 sweets
=35 sweets