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Objective
Be able to divide a quantity into a
given ratio
Ratio: What does this mean?
A steel alloy
rod is made
up of 60%
iron and 40%
copper.
So the ratio
of iron to
copper is
60:40.
We could
simplify this
to give 3:2
Ratio is used to
compare the sizes
of two (or more)
quantities. For
example: a drink is
made by mixing
two parts orange
juice with five parts
water. This
relationship of 2 to
5 can be written as
the ratio 2:5.
Dividing a quantity in to a ratio
Divide 560kg in the ratio 3:4
Total parts
1 part
parts
parts
3 + 4 = 7
560 ÷ 7 = 80
3
4
3 x 80 = 240kg
4 x 80 = 320kg
Divide 560kg in the ratio 3:4 is 240kg:320kg
Time to try some!
1) £900 into the ratio 4:5
2) £200 into the ratio 3:5
3) £630 into the ratio 7:11
4) 2205kg into the ratio 8:13
5) 450 hours into the ratio 5:6:7
6) 550 lbs into the ratio 5:8:9
£400 : £500
£75 : £125
£245 : £385
840kg : 1365kg
125h : 150h : 175h
125lbs : 200lbs : 225lbs
Ratio
Ratio

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Ratio

  • 1. Objective Be able to divide a quantity into a given ratio
  • 2. Ratio: What does this mean? A steel alloy rod is made up of 60% iron and 40% copper. So the ratio of iron to copper is 60:40. We could simplify this to give 3:2 Ratio is used to compare the sizes of two (or more) quantities. For example: a drink is made by mixing two parts orange juice with five parts water. This relationship of 2 to 5 can be written as the ratio 2:5.
  • 3. Dividing a quantity in to a ratio Divide 560kg in the ratio 3:4 Total parts 1 part parts parts 3 + 4 = 7 560 ÷ 7 = 80 3 4 3 x 80 = 240kg 4 x 80 = 320kg Divide 560kg in the ratio 3:4 is 240kg:320kg
  • 4. Time to try some! 1) £900 into the ratio 4:5 2) £200 into the ratio 3:5 3) £630 into the ratio 7:11 4) 2205kg into the ratio 8:13 5) 450 hours into the ratio 5:6:7 6) 550 lbs into the ratio 5:8:9 £400 : £500 £75 : £125 £245 : £385 840kg : 1365kg 125h : 150h : 175h 125lbs : 200lbs : 225lbs