We are given a ratio table with some values missing. We need to complete the table by finding the missing value, given the ratios between the columns are constant. The table has two columns, where the ratio of values in the first column to the values in the second column is constant. We are given the following pairs: $(4, 5), (8, 10), (?, 30), (?, 35), (76, 95)$. We need to find the two missing values.
2025/3/8
1. Problem Description
We are given a ratio table with some values missing. We need to complete the table by finding the missing value, given the ratios between the columns are constant. The table has two columns, where the ratio of values in the first column to the values in the second column is constant. We are given the following pairs: . We need to find the two missing values.
2. Solution Steps
First, let's find the ratio between the first and second columns using the given pairs. From , the ratio is . From , the ratio is . So, the ratio is .
Let the missing values be and .
For the first missing value, we have . Multiplying both sides by 30, we get .
For the second missing value, we have . Multiplying both sides by 35, we get .
Therefore, the missing values are 24 and
2
8.
3. Final Answer
24