Page 120 - Start Up Mathematics_4

Solution: Bars with Sambhav = 15
1 1 5
Bars given to Sameer = of 15 = × 15 = 5
3 3
1 1 3
Bars given to Meetu = of 15 = × 15 = 3
5 5
Bars left with Sambhav = 15 – (5 + 3) = 15 – 8 = 7

Thus, Sambhav 7 > Sameer 5 > Meetu 3.
1 1
Example 27: Mrs Jha bought 3 bags of sugar and Mrs Dua bought 2 2 bags of sugar.
2
Find the total amount of sugar bought by them. Write the fraction in the
lowest terms.
1 7
Solution: Bags of sugar bought by Mrs Jha = 3 =
2 2 Sugar
1 5 Sugar
Bags of sugar bought by Mrs Dua = 2 =
2 2
7 5 12
Total bags bought = + = = 6
2 2 2
Thus, they bought 6 bags of sugar.
5
Example 28: Ali and Mohsin have wardrobes of the same size. Ali’s wardrobe is full of
2 6
clothes and Mohsin’s wardrobe is 5 full. Whose wardrobe is more full?
5 2
Solution: Ali’s wardrobe = Mohsin‘s wardrobe =
6 5
5 5 × 5 25 2 2 × 6 12
= = = =
6 6 × 5 30 5 5 × 6 30
25 12
Since > , Ali’s wardrobe is more full.
30 30

5 2
Example 29: Sanya had litres of juice. She drank litres out of it. How much juice is
2 4
left with her? Write in the lowest terms.
5
Solution: Juice with Sanya = L
2
2
Juice she drank = L
4
5 2
Juice left = – L
2 4
5 5 × 4 20 2 2 × 2 4
= = = =
2 2 × 4 8 4 4 × 2 8
20 4 16
– = = 2 L
8 8 8
Thus, Sanya had 2 litres of juice left with her.

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