# EXPRESS THE FOLLOWING QUANTITIES AS A RATIO

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 \$5b)  7 mL is to 13 mLc)  5 kg is to 2 kg a)  8 : 5b)  7 : 13c)  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 is6 : 5 Ratio of pumpkins and cabbages is2 :  7 Ratio of spiders and ladybugs is5 : 3 Ratio of apples and mangosteens is4 : 8 (or) 1 : 2 Ratio of snow cones and chocolates is6 : 2 (or) 3 : 1

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