Question

Which set of ratios below is equivalent to 4:5?

A. 8 to 10, 10/15
B. 8 to 10, 16/20
C. 15/20, 20:25
D. 40/50, 24:36

Answer 1

The set of ratios equivalent to 4:5 is option B: 8 to 10, 16/20, as both ratios simplify to the original ratio of 4:5.

Step-by-step explanation:

To find which set of ratios is equivalent to 4:5, we need to compare each option and see if they can be simplified or scaled to form the ratio 4:5. To determine if ratios are equivalent, they must be proportional when simplified. Let's review each option:

• Option A: 8 to 10, 10/15 - The ratio 8:10 simplifies to 4:5, which matches the original ratio. However, 10/15 simplifies to 2/3, which is not equivalent to 4:5.
• Option B: 8 to 10, 16/20 - Both ratios simplify to 4:5. We divide 8 and 10 by 2 to get 4:5, and also divide 16 and 20 by 4 to get 4:5.
• Option C: 15/20, 20:25 - Both fractions simplify to 3:4, which is not equivalent to 4:5.
• Option D: 40/50, 24:36 - The first ratio simplifies to 4:5, but the second ratio simplifies to 2:3, which is not equivalent to the original ratio.

Therefore, the set of ratios equivalent to 4:5 is found in option B: 8 to 10, 16/20.