Solve the following word problems. a. Alisha has a ribbon that is 12.6 metres long. Shambhvi has a ribbon that is 2.8 metres shorter than Alisha's ribbon. What is the total length of the two ribbons? b. Mohit has a bottle that has 2.17 litres of water and Priya has a jug that has 0.79 litres less water than the bottle. Find the total litres of water in both. c. A coconut tree is 6.6 metres tall and a mango tree is 3.4 metres shorter than the coconut tree. Find the total height of both the trees. d. Sack P contains 34.5 kg of potatoes and Sack Q contains 4.8 kg more potatoes than that of Sack P. Find the total weight of potatoes in both the sacks.
Answer (1)
To solve these word problems, we need to determine the lengths, volumes, heights, and weights mentioned in the problems and then calculate the totals.
a. Total Length of Ribbons:
Alisha's ribbon: 12.6 metres.
Shambhvi's ribbon: 2.8 metres shorter than Alisha's.
Thus, Shambhvi's ribbon length is: 12.6 − 2.8 = 9.8 metres
Total length of both ribbons: 12.6 + 9.8 = 22.4 metres
b. Total Litres of Water:
Mohit's bottle has 2.17 litres of water.
Priya's jug has 0.79 litres less than Mohit's bottle.
Priya's jug, therefore, has: 2.17 − 0.79 = 1.38 litres
Total litres in both containers: 2.17 + 1.38 = 3.55 litres
c. Total Height of Trees:
Coconut tree height: 6.6 metres.
Mango tree is 3.4 metres shorter.
Mango tree height: 6.6 − 3.4 = 3.2 metres
Total height of both trees: 6.6 + 3.2 = 9.8 metres
d. Total Weight of Potatoes:
Sack P has 34.5 kg of potatoes.
Sack Q has 4.8 kg more than Sack P.
Thus, Sack Q contains: 34.5 + 4.8 = 39.3 kg
Total weight of potatoes in both sacks: 34.5 + 39.3 = 73.8 kg
By following these calculations step-by-step, we can clearly see the math behind finding the total amounts in each scenario.
