Question

ratio proporrion and unitary method how to solve the question if the weight of 15 bricks is 85 kg what would be the weight of 19 kg​

Answer 1

Answer:

Question 1:

Find each of the following ratios in the simplest form:

(i) 24 to 56

(ii) 84 paise to Rs 3

(iii) 4 kg to 750 g

(iv) 1.8 kg to 6 kg

(v) 48 minutes to 1 hour

(vi) 2.4 km to 900 m

ANSWER:

(i) 24:56 = 24 = 24 ÷ 8 = 3

56 56 ÷ 8 7

As the H.C.F. of 3 and 7 is 1, the simplest form of 24:56 is 3:7.

(ii) 84 paise to Rs 3 = Rs 0.84 to R. 3 = 0.84 = 0.84 ÷ 3 = 0.28 = 28 = 28 ÷ 4 = 7

3 3 ÷ 3 1 100 100 ÷ 4 25

As the H.C.F. of 7 and 25 is 1, the simplest form of 0.84:3 is 7:25.

(iii) 4 kg:750 g = 4000 g:750 g = 4000 ÷ 250 = 16

750 ÷ 250 3

As the H.C.F. of 16 and 3 is 1, the simplest form of 4000:750 is 16:3.

(iv) 1.8 kg:6 kg = 1.8 = 18 = 18 ÷ 6 = 3

6 60 60 ÷ 6 10

As the H.C.F. of 3 and 10 is 1, the simplest form of 1.8:6 is 3:1.

(v) 48 minutes to 1 hour = 48 minutes to 60 minutes = 48:60 = 48 ÷ 12 = 4

60 ÷ 12 5

As the H.C.F. of 4 and 5 is 1, the simplest form of 48:60 is 4:5.

(vi) 2.4 km to 900 m = 2400m:900m = 2400 = 24 = 24 ÷ 3 = 8

900 9 9 ÷ 3 3

As the H.C.F. of 8 and 3 is 1, the simplest form of 2400:900 is 8:3.

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Question 2:

Express each of the following ratios in the simplest form:

(i) 36 : 90

(ii) 324 : 144

(iii) 85 : 561

(iv) 480 : 384

(v) 186 : 403

(vi) 777 : 1147

ANSWER:

(i) 36:90 = 36 = 36 ÷ 18 = 2 (As the H.C.F. of 36 and 90 is 18.)

90 90 ÷ 18 5

Since the H.C.F. of 2 and 5 is 1, the simplest form of 36:90 is 2:5.

(ii) 324:144 = 324 = 324 ÷ 36 = 9 (As the H.C.F. of 324 and 144 is 36.)

144 144 ÷ 36 4

Since the H.C.F. of 9 and 4 is 1, the simplest form of 324:144 is 9:4.

(iii) 85:561 = 85 = 85 ÷ 17 = 5 (As the H.C.F. of 85 and 561 is 17.)

561 561 ÷ 17 33

Since the H.C.F. of 5 and 33 is 1, the simplest form of 85:561 is 5:33.

(iv) 480:384 = 480 = 480 ÷ 96 = 5 (As the H.C.F. of 480 and 384 is 96.)

384 384 ÷ 96 4

Since the H.C.F. of 5 and 4 is 1, the simplest form of 480:384 is 5:4.

(v) 186:403 = 186 = 186 ÷ 31 = 6 (As the H.C.F. of 186 and 403 is 31.)

403 403 ÷ 31 13

Since the H.C.F. of 6 and 13 is 1, the simplest form of 186:403 is 6:13.

(vi) 777:1147 = 777 ÷ 37 = 21 (As the H.C.F. of 777 and 1147 is 37.)

1147 ÷ 37 31

Since the H.C.F. of 21 and 31 is 1, the simplest form of 777:1147 is 21:31

Answer 2

Answer:

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75 bricks

Step-by-step explanation:

Weight of 15 bricks = 85kg

Weight of 1 bricks = $\frac{85}{15}$$kg$

Number of bricks weighs 19kg = 19×$\frac{15}{85}$ = 75 bricks