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