Dividing into a given ratio Monday, 10 December 2018

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

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

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

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

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

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

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