1.Write each of these ratios in the simplest form.
(i) 2:6
(ii)24:4
(iii) 14:21
(iv) 20: 100
(v) 18:24
(vi) 22:77
Solution:
(i) 2:6 = 1:3 (dividing both by 2)
(ii) 24:4 = 6:1 (dividing both by 2)
(iii) 14:21 = 2:3 (dividing both by 7)
(iv) 20:100 = 1:5 (dividing both by 2)
(v) 18:24 = 3:4 (dividing both by 6)
(vi) 22:77 = 2:7 (dividing both by 11)
2. A shop-keeper mixes 600 ml of orange juice with 900 ml of apple juice to make a fruit drink. Write the ratio of orange juice to apple juice in the fruit drink in its simplest form.
Solution:
Ratio of volumes of
Orange juice and apple juice O:A
= 600:900
= 6:9
= 2:3
3. a builder mixes 10 shovels of cement with 25 shovels of sand. Write the ratio of cement to sand.
Solution:
Ratio of cement to sand = 10 shovels :25 shovels
4.In a school there are 850 pupils and 40 teachers. Write the ratio of teachers to pupils.
Solution:
Number of teachers : Number of pupils
= 40 : 850 = 4:85
5. On a map, a distance of 5cm represent an actual distance of 15km. Write the ratio of the scale of the map.
Solution:
Let x be the number to be added them
(49 + x) = (68 + x) = 3:4
4(49+X) = (68 + X)3
196+4X = 204 + 3X
4X – 3X = 204 – 196
x = 8
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