1. Dividing a Quantity into a Given Ratio
The 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?
= 7
÷ $35 ÷ 7 = $5
x Allan 4 x $5 = $20
Daniel 3 x $5 = $15
Check $20 + $15 = $35.
Thus, Allan gets $20 and Daniel get $15.

2. Thus, Cherly gets $8 and Amanda Gets $12.
2) Divide $20 between Cheryl and Amanda so that for every 20c Cherly receives, Amanda receives 30c.
= 50
÷ 2000 ÷ 50 = 40c
x Cherly 20 x 40c = 800c
= $8
Amanda 30 x 40c = 1200c
= $12
Check $8 + $12 = $20
Thus, Cherly gets $8 and Amanda Gets $12.

3. Exercises
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?
Divide 16 in the ratio 5:3.
Divide 200 in the ration 1:4.
Pewter is made by mixing tin and lead in the ratio 4:1. How much of each metal is there in 20kg of pewter?
A line is divided in the ratio 5:3. How long would each section be if the line was:
8cm
16cm
EXTENSION
A 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.