Question

Which of the following is the equivalent ratio of 8 : 15?
24 - 30
32-60
1:7
48: 60​

Answer 1

Question :- Which of the following is the equivalent ratio of 8 : 15 ?

A) 24 : 30

B) 32 : 60

C) 1 : 7

D) 48 : 60

Solution :-

we know that, Two ratios that have the same value are called equivalent ratios.

we have to find the equivalent ratio of 8 : 15 .

so, checking given options we get,

• A) = 24 : 30 => 24 / 30 = (4 * 6) / 5 * 6) = 4 / 5 = 4 : 5 = Not Equal to 8 : 15 .
• B) = 32 : 60 => 32 / 60 = (4 * 8) / 4 * 15) = 8 / 15 = 8 : 15 = Equal to 8 : 15 .
• C) = 1 : 7 = Not Equal to 8 : 15 .
• D) = 48 : 60 => 48 / 60 = (4 * 12) / 5 * 12) = 4 / 5 = 4 : 5 = Not Equal to 8 : 15 .

therefore, we can conclude that, the equivalent ratio of 8 : 15 is option (B) 32 : 60 .

Answer 2

Given:

Which of the following is the equivalent ratio of 8 : 15?

24 : 30

32 : 60

1 : 7

48 : 60

Solution :

Equivalent ratio means, multiply/divide the numerator and the denominator with the same number.

24 : 30

multiplying with 6

4 : 5

It is not an equivalent ratio of 8 : 15.

32 : 60

multiplying with 4

8 : 15

It is an equivalent ratio of 8 : 15.

1 : 7

It is not an equivalent ratio of 8 : 15.

48 : 60

multiplying with 12

4 : 5

It is not an equivalent ratio of 8 : 15.

Hence, the ratio 8 : 15 is equivalent to the ratio of 32 : 60