Dividing a Quantity into a Given RatioThe simplest way to divide a quantity is to use the "PLUS, DIVIDE, TIMES" method.

EXAMPLES

1) Allan and Daniel divide $35 in the ratio 4:3. How much money does each get?

+ 4 + 3 = 7÷ $35 ÷ 7 = $5x Allan 4 x $5 = $20

Daniel 3 x $5 = $15Check $20 + $15 = $35.Thus, Allan gets $20 and Daniel get $15.

2) Divide $20 between Cheryl and Amanda so that for every 20c Cherly receives, Amanda receives 30c.

+ 20 + 30 = 50÷ 2000 ÷ 50 = 40cx Cherly 20 x 40c = 800c

= $8Amanda 30 x 40c = 1200c

= $12 Check $8 + $12 = $20Thus, Cherly gets $8 and Amanda Gets $12.

Exercises1)A class consists of boys and girls in the ratio 1:2. If there are 30 students in the class how many are boys and how many are girls?2)Divide 16 in the ratio 5:3.3)Divide 200 in the ration 1:4.

4)Pewter is made by mixing tin and lead in the ratio 4:1. How much of each metal is there in 20kg of pewter?

5)A line is divided in the ratio 5:3. How long would each section be if the line was:

i) 8cmii) 16cm

EXTENSIONA concrete mix is made by mixing gravel, sand and cement in the ratio 6:4:1. How much of each is required to make 66kg of concrete.