Question

Choose all the ratios below that are equivalent to 5, colon, 205:20.
Answer
Attempt 1 out of 2
1, colon, 41:4
3, colon, 183:18
60, colon, 1560:15
15, colon, 6015:60
40, colon, 1040:10

Answer 1

5:205:20 = (divide each term by 5) = 1:41:4. Any equivalent ratio must be (k, 41k, 4k).

Check the choices:
- 1:41:4 → k = 1, yes.
- 3:183:18 → 183 ≠ 41·3, no.
- 60:1560:15 → 1560 ≠ 41·60, no.
- 15:6015:60 → 6015 ≠ 41·15, no.
- 40:1040:10 → 1040 ≠ 41·40, no.

So only 1:41:4 is equivalent.