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Word probleMs

Example 1: Two ropes are 15 m 36 cm and 14 m 85 cm long. Find their total length.
Solution: m cm

1 1 1
Length of first rope = 1 5 3 6
Length of second rope = + 1 4 8 5
Total length of two ropes = 3 0 2 1

Thus, the total length of the two ropes is 30 m 21 cm.

Example 2: A tree was 22 m 40 cm high. The upper part of the tree has been broken by
the wind, and the remaining height of the tree is 8 m 56 cm. Find the height of the tree
broken by the wind.
Solution: m cm

11 13
1 1 3 10

Height of the tree = 2 2 4 0
Height of the remaining part of tree = – 8 5 6
Height of the upper part of the tree = 1 3 8 4

Thus, 13 m 84 cm part of the tree is broken by the wind.

Example 3: Raghav bought two bags of sugar weighing, 18 kg 200 g and 32 kg 900 g
respectively. Find their total weight.
Solution: kg g

1 1
Weight of the first bag of sugar = 1 8 2 0 0
Weight of the second bag of sugar = + 3 2 9 0 0

Total weight of two bags of sugar = 5 1 1 0 0
Thus, the total weight of two bags of sugar is 51 kg 100 g.

Example 4: An empty basket weighs 11 kg 36 g, and the basket full of fruits weighs 29 kg.
How much fruit does it contain?
Solution: kg g

9 9
8 10 10 10
Weight of fruits and basket = 2 9 0 0 0

Weight of empty basket = – 1 1 0 3 6
Weight of fruits = 1 7 9 6 4

Thus, the weight of fruits is 17 kg 964 g.

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