To find the missing value in the table of equivalent ratios, we need to first determine the ratios of apples to oranges for the given entries and then apply that ratio to find the missing value.
Let's calculate the ratios for the first two rows:
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For the first row:
- Apples: 6
- Oranges: 10
- Ratio: \( \frac{6}{10} = \frac{3}{5} \)
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For the second row:
- Apples: 9
- Oranges: 15
- Ratio: \( \frac{9}{15} = \frac{3}{5} \)
Both of these ratios are equivalent to \( \frac{3}{5} \).
Now, let's set up the third row:
- Apples: 12
- Oranges: ?
- Ratio: \( \frac{12}{?} = \frac{3}{5} \)
Now we can solve for the missing value (oranges): \[ \frac{12}{?} = \frac{3}{5} \]
To find the missing value, we can cross-multiply: \[ 12 \times 5 = 3 \times ? \] \[ 60 = 3 \times ? \]
Now, divide both sides by 3 to solve for the missing value: \[ ? = \frac{60}{3} = 20 \]
Therefore, the missing value in the table for oranges is 20.
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