What is a ratio ?
A ratio is a comparison made by dividing the size of two or more quantities of the same type.
The measurements of quantities should be in the same units.
Problem 1 :
Express as a ratio.
a) $8 is to $5 b) 7 mL is to 13 mL c) 5 kg is to 2 kg |
a) 8 : 5 b) 7 : 13 c) 5 : 2 |
Problem 2 :
a) 65 g is to 1 kg
b) 87 pence is to £1.00
c) 5 months is to 2 years
Solution :
a)
Since the given quantities are different units, first make them the same units.
1 kg = 1000 g
= 65 : 1000
HCF(65, 1000) is 5
= (65/5) : (1000/5)
= 13 : 200
b)
Since the given quantities are different units, first make them the same units.
£1 = 100 pence
= 87 : 100
c)
1 year = 12 months
2 years = 12(2) ==> 24 months
= 5 : 24
Problem 3 :
Write as a ratio.
a) Peter has $11 and Jacki has $9.
b) In a theatre, there are 3 girls for every boy.
c) The school spent €5 on volleyball equipment for every €1 on table tennis equipment.
d) There are 2 Japanese made cars for every 5 European made cars.
e) For every 15 km that you travel by car, I can travel 4 km by bicycle.
Solution:
a) The ratio of Peter and Jacki is 11 : 9
b) The ratio of girls and boys is 3 : 1
c) The ratio of volleyball and table tennis is 5 : 1
d) The ratio of Japanese cars and European cars is 2 : 5
e) The ratio of distance covered by car to bicycle is 15 : 4
Problem 4 :
Ratio of books and Pens is 6 : 5 | |
Ratio of pumpkins and cabbages is 2 : 7 | |
Ratio of spiders and ladybugs is 5 : 3 | |
Ratio of apples and mangosteens is 4 : 8 (or) 1 : 2 | |
Ratio of snow cones and chocolates is 6 : 2 (or) 3 : 1 |
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