Question

Create a proportional ratio to the given ratio:
10/5

Options for top box:

25, 40, 71, 70.

Options for bottom box:

35, 26, 53, 61.

Answer 1

To create a proportional ratio to the given ratio \( \frac{10}{5} \), we can reduce it to its simplest form, which is \( 2:1 \).

Now, we are looking for pairs from the options provided that maintain the same ratio of \( 2:1 \).

Let's go through each option:

1. **For 25:**
\(\frac{25}{x} = 2\) would mean \(x = \frac{25}{2} = 12.5\) (not in options).

2. **For 40:**
\(\frac{40}{x} = 2\) would mean \(x = \frac{40}{2} = 20\) (not in options).

3. **For 71:**
\(\frac{71}{x} = 2\) would mean \(x = \frac{71}{2} = 35.5\) (not in options).

4. **For 70:**
\(\frac{70}{x} = 2\) would mean \(x = \frac{70}{2} = 35\) (this is in options).

Now we check the possible combinations for the bottom box:

- The corresponding bottom entry for the top box option of 70 gives us 35, which we found.

Thus, the proportional ratio to \( \frac{10}{5} \) can be made with the top box as **70** and the bottom box as **35**, leading to the ratio \( \frac{70}{35} = 2:1 \).

So, the correct answer should be **70** above, and **35** below.

Answer 2

Create a proportional ratio to the given ratio:
25/12

Options for top box:

75, 44, 45, 66.

Options for bottom box:

81, 55, 39, 36.