Question

Choose all the ratios below that are equivalent to 24, colon, 624:6.
Answer
Attempt 1 out of 2
48, colon, 1248:12
4, colon, 14:1
12, colon, 312:3
96, colon, 2496:24
23, colon, 523:5

Answer 1

Equivalent ratios are those where each term is multiplied by the same constant.

Check each option against 24 : 624 : 6:

- 48 : 1248 : 12 — multiply each term by 2 (k = 2). Equivalent.
- 4 : 14 : 1 — 4 = 24*(1/6) but 14 ≠ 624*(1/6). Not equivalent.
- 12 : 312 : 3 — multiply each term by 1/2 (k = 1/2). Equivalent.
- 96 : 2496 : 24 — multiply each term by 4 (k = 4). Equivalent.
- 23 : 523 : 5 — no single k works (23/24 ≠ 523/624). Not equivalent.

So the equivalent ratios are: 48 : 1248 : 12; 12 : 312 : 3; and 96 : 2496 : 24.