Nandini-s house is 9-10 km from her school- She walked some distance and then took a bus for 1-2 km to reach the school- How far did she walk-2 marks-

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Forming Algebraic Equations (Addition)

Nandini’s hou...

Question

Nandini’s house is  $\frac{9}{10}$ km from her school. She walked some distance and then took a bus for  $\frac{1}{2}$ km to reach the school. How far did she walk?
[2 marks]

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Solution

Distance of the school from house =  $\frac{9}{10}$ km
[0.25 marks]

Distance she travelled by bus = $\frac{1}{2}$ km
[0.25 marks]

Distance walked by Nandini = Total distance of the school – Distance she travelled by bus
[0.25 marks]

= $\frac{9}{10}$ – $\frac{1}{2}$
[0.25 marks]
= $\frac{(9 \times 1) - (1 \times 5)}{10}$
[0.25 marks]

= $\frac{(9 - 5)}{10}$
[0.25 marks]

= $\frac{4}{10}$
[0.25 marks]

= $\frac{2}{5}$

∴ Distance walked by Nandini is $\frac{2}{5}$ km
[0.25 marks]

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Nandini’s house is  910 km from her school. She walked some distance and then took a bus for  12 km to reach the school. How far did she walk? [2 marks]