Page 150 - Start Up Mathematics_6

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Example 39: Vani’s school is km from her house. She walked some distance and then took a
1 9
bus for km to reach the school. How far did she walk?
3
5
Solution: Distance of Vani’s school from her house = km
1 9
Distance travelled by bus = km
3
5 1 5 – 3 2
∴ Vani walked = – = = km
9 3 9 9
1
Example 40: Yuvraj hit 15 sixes in 60 balls he faced. Sachin sent of the balls soaring over the
fence of the total 110 balls he faced. 5
(a) Who hit more sixes?

(b) Who hit a bigger fraction of sixes against the total balls faced?
Solution: (a) Yuvraj hit = 15 sixes Try It Out!

1 Complete the addition-subtraction box.
Sachin hit = × 110 = 22 sixes Hint: Add the numbers +
5
∴ Sachin hit more sixes. in adjacent columns to 3 4
get the next column 5 5
15 1 number. Subtract the –
(b) Yuvraj’s proportion of sixes = = 2 2
60 4 numbers in adjacent 5 5
1 rows to get the next
Sachin’s proportion of sixes = row number.
5
1 1
 > ∴ Yuvraj’s inning had a greater fraction of sixes.
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EXERCISE 7.3
3 2 1 3 4 3 5 2
1. Find the sum: (a) + (b) + (c) + (d) +
7 7 2 8 5 10 11 3
3 1 12 8 2 5 18 17
2. Find the difference: (a) – (b) – (c) – (d) +
8 8 7 7 3 12 20 25

2 3 1 1 3 5
3. Simplify: (a) 2 + 5 (b) 3 + 5 (c) 2 – 1
5 5 2 4 7 14
4. Evaluate each of the following:
2 6 7 1 1 1 1 1
(a) – + (b) 9 – 2 – 3 (c) 2 + 4 – 3
5 5 5 2 4 2 3 4
1 4 3 2 1 3 1 1 1 1 3
(d) + – + (e) + + – (f) 2 – – –
11 11 11 11 2 4 8 12 3 2 4
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5. Raj takes 2 hours to complete his homework. However, Seema takes hours to complete
2 3
her homework. Who takes less time and by how much?
3 1
6. A tailor needs 25 m of cloth to stitch 11 shirts for a dance group. He has 21 m of cloth.
4 4
How much more cloth does he need to complete the work?

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