Page 294 - Math Smart - 7

b) The recipe needs 360 g of flour and 240 g of butter.
The ratio of the amount of flour used to the amount of butter used is 360 : 240.
The highest common factor of 240 and 360 is 120.
TheHCF of 120 and 240 360 : 240
is 120. t120 -r120
The HCF of 360 and 240 c...)
3:2
is 120.
So, the simplified ratio is 3 : 2.
Example 4

Simplify the ratio I • g-

Solution
Express the fractions Find the equivalent fractions for each fraction in the ratio such that they have the
as like fractions for same denominator.
comparison. Then we
The lowest common multiple of 4 and 8 is 8.
only need to look at the
3 _ 6
number of parts in their 4 8
numerators. 3 . 5.6 . 5
4 " 8 ~ 8 n 8
So, the ratio in its simplest form is 6 : 5.

Check My

Understanding

O Ong mixed some nuts using the ratio given in the following table.
Number of cups of peanuts
1 2
Number of cups of almonds
4 8
Peanuts : Almonds (simplest form) 1 :4 1 :4

Ong used 4 cups of peanuts. How many cups of almonds did he use?

o At a cafe, a cup of latte Is made by mixing 2 portions of coffee and 3 portions of milk. How many portions
of coffee and portions of milk are needed to make 5 cups of latte?

o May mixes 2 glasses of syrup and 5 glasses of fruit juice to make some fruit punch. Ying wants to make
5 times the amount of fruit punch that May makes. How many glasses of syrup and glasses of fruit juice
does she need?
o Freshly-squeezed lime juice is added to water to make a drink for a party. The ratio of the amount of
lime juice used to the amount of water used is 2 : 7. If 600 ml of lime juice is used, what is the volume
of water used?
The ratio of the number of chickens to the number of ducks in a farm is 5 : 3. The ratio of the number of
ducks to the number of geese is 6 : 1. Find the ratio of the number of chickens to the number of ducks to
the number of geese in the simplest form.
Simplify each of these ratios.
a) 6:4 b) 8:16 c) 2 : 32 d) 12:10
e) 15:20 f) 35:15 g) 16:16 h) 70 : 50
i) 24:12 j) 21 :12 k) 18:27 I) 15:33
m) 16:12 n) 8 : 5 o) 8 : 6 p) 5 : 8

Ratio, Rate and Proportion