If A : B = 3 : 4 and B C = 1 : 5, then what is A : C?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e 3 : 5
To find the ratio of A to C, we need to use the given ratios A:B and B:C:
A:B = 3:4
B:C = 1:5
We can combine these ratios to find the ratio of A to C:
A : B : C = 3 : 4 : 5
Dividing both sides by B, we get:
A/B : B/B : C/B = 3/4 : 4/4 : 5/4
Simplifying, we get:
A/B : 1 : C/B = 3/4 : 1 : 5/4
Multiplying both sides by B/C, we get:
A/B : C/C : C/B = 3/4 x B/C : C/C : 5/4 x B/C
Simplifying, we get:
A:C = 3/4 x 1/5 : 5/4 x 1/5 = 3/20 : 1/4
To get a common denominator, we can write 1/4 as 5/20:
A:C = 3/20 : 5/20
Simplifying, we get:
A:C = 3:5
Therefore, the ratio of A to C is 3 : 5.