To compare the ratios 2:5 and 3:4, we can convert these ratios into equivalent fractions and then find common multiples.
The ratio 2:5 can also be expressed as the fraction \( \frac{2}{5} \) and the ratio 3:4 can be expressed as \( \frac{3}{4} \).
To compare these fractions, we can find a common denominator. The least common multiple (LCM) of the denominators 5 and 4 is 20.
Now, convert each fraction:
\[ \frac{2}{5} = \frac{2 \times 4}{5 \times 4} = \frac{8}{20} \]
\[ \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \]
Thus, in a comparable form, we have:
- The ratio \( 2:5 \) corresponds to \( 8:20 \)
- The ratio \( 3:4 \) corresponds to \( 15:20 \)
To compare these ratios based on available data, we look for the pairs that feature these equivalent values.
From your options, we identify the following:
- The pair \( 2:5 \) and \( 3:4 \) corresponds to \( 8:20 \) and \( 15:20 \).
- Look through each set of numbers:
-
Set 1:
- 2, 5, 4, 10
- 6, 15, 8, 20
- 10, 25, 3, 4
- 6, 8, 9, 12
- 12, 16, 15, 20
- No exact matches.
-
Set 2:
- 2, 5, 4, 10
- 3, 4, 6, 8
- No exact matches.
-
Set 3:
- 2, 5, 3, 10
- 4, 15, 5, 20
- 6, 25, 3, 4
- 4, 8, 5, 12
- 6, 16, 7, 20
- Contains 2:5 and 3:4.
-
Set 4:
- 2, 5, 6, 15
- 10, 25, 3, 4
- 9, 12, 16, 20
- No exact matches.
The table that you could use to compare the ratios 2:5 and 3:4, after consideration, is the third option where you found both ratios present.
So, the answer is the third table.