Dividing a Quantity into a Given Ratio

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Presentation transcript:

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? + 4 + 3 = 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.

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. + 20 + 30 = 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.

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.