Answer:
To find the missing value in the ratio table, you need to use the concept of equivalent ratios. Equivalent ratios are ratios that have the same value when simplified or cross-multiplied. For example, 2:4 and 3:6 are equivalent ratios because they both simplify to 1:2.
In your case, you have a ratio table that shows the relationship between boys and girls in a group. The table has one missing value, which is marked by a question mark:
Boys Girls
1 5
? 10
To find the missing value, you can use the method of cross-multiplication. This means that you multiply the values on the diagonal and set them equal to each other. For example:
1 × 10 = 5 × ?
Then, you can solve for the unknown value by dividing both sides by 5:
1 × 10 / 5 = 5 × ? / 5 2 = ?
Therefore, the missing value is 2. This means that there are 2 boys for every 10 girls in the group. You can check your answer by simplifying the ratios and seeing if they are equivalent. For example:
1 / 5 = 2 / 10 0.2 = 0.2
The ratios are equivalent, so the answer is correct. You can also write the equivalent ratios using a colon or the word “to”. For example:
1:5 = 2:10 1 to 5 = 2 to 10
I hope this helps you understand how to find the missing value in a ratio table and write the equivalent ratios.