pick all the correct answers

Question

what ratios are equivalent to 16:21

80:105
13:42
24:35
1:9

Answer 1

To determine which ratios are equivalent to 16:21, we can simplify or cross-multiply the given ratios.

1. 80:105:

   • Simplifying 80:105, we can divide both by 5:
   • 80 ÷ 5 = 16
   • 105 ÷ 5 = 21
   • So, 80:105 is equivalent to 16:21.

2. 13:42:

   • Cross-multiplying, we get 13 * 21 = 273 and 42 * 16 = 672, which are not equal.
   • So, 13:42 is not equivalent to 16:21.

3. 24:35:

   • Cross-multiplying, we get 24 * 21 = 504 and 35 * 16 = 560, which are not equal.
   • So, 24:35 is not equivalent to 16:21.

4. 1:9:

   • Cross-multiplying, we get 1 * 21 = 21 and 9 * 16 = 144, which are not equal.
   • So, 1:9 is not equivalent to 16:21.

The only correct answer is 80:105.