ratio and proportion solution9

Ratio and Proportion Solution9

In this page ratio and proportion solution9 we are going to see solution of each question from the worksheet ratio and proportion.

(11) If A : B = 6 : 7 and B : C = 8 : 9,find A : B : C

Solution:

A : B = 6 : 7

B : C = 8 : 9

= 1 : (9/8)

Now we are going to multiply by 7 with both antecedent and consequent

= 1 (7) : (9/8) (7)

= (7) : (63/8)

A : B : C = 6 : 7 : (63/8)

= 48 : 56 : 63

(12) If 6 A = 5 B = 3 C , find A : B : C

Solution:

6 A = 5 B

A/B = 5/6

A : B = 5 : 6

5 B = 3 C

B/C = 3/5

B : C = 3 : 5

= 1 : (5/3)

Now we are going to multiply by 6

= 1(6) : (5/3)6

= 6 : 10

A : B : C = 5 : 6 : 10

(13) If (3 x + 1) : (9 x + 4) is the duplicate of 4 : 7, find the value of x

Solution:

To find the duplicate ratio for 4 : 7 we have to take square

4² : 7²

16 : 49

(3 x + 1) : (9 x + 4) = duplicate ratio of 4 : 7

(3 x + 1)/(9 x + 4) = 16/49

49 (3 x + 1) = 16 (9 x + 4)

147 x + 49 = 144 x + 64

147 x – 144 x = 64 – 49

3 x = 15

x = 15/3

x = 5

(14) If (7 x + 1) : (13 x + 8) is the triplicate of 4 : 5, find the value of x

Solution:

(7 x + 1) : (13 x + 8) = triplicate of 4 : 5

(7 x + 1)/(13 x +8) = 4³/5³

(7 x + 1)/(13 x +8) = 64/125

125 (7 x + 1) = 64 (13 x + 8)

875 x + 125 = 832 x + 512

875 x – 832 x = 512 – 125

43 x = 387

x = 387/43

x = 9

ratio and proportion solution9 ratio and proportion solution9

SBI!