Find the value that makes the pair of ratios equivalent
1. 8
2.(7)
3.6
4.5
Is it right?
oh sorry 12:42, 2x
Correct!
Yes, you're right.
To find the value that makes the pair of ratios equivalent, we need to set up a proportion.
First, let's write the given ratios:
1. 8 : 7
2. ? : 7
3. 6 : 5
4. ? : 5
To make the ratios equivalent, we want the first term of each ratio to be equal. Therefore, we will compare the first terms of the ratios.
For example, to find the missing value in ratio 2, we can set up the proportion:
8/7 = ?/7
Now, we can solve for the missing value:
8/7 = ?/7 (cross-multiply)
8 * 7 = ? * 7 (multiply both sides by 7)
56 = ? * 7
Now, divide both sides of the equation by 7 to isolate the missing value:
56/7 = ?
8 = ?
Therefore, the missing value in ratio 2 that makes the pair of ratios equivalent is 8.
Using the same method, you can solve for the missing value in ratio 4:
?/5 = 6/5 (cross-multiply)
5 * 6 = ? * 5 (multiply both sides by 5)
30 = ? * 5
Divide both sides of the equation by 5 to find the missing value:
30/5 = ?
6 = ?
Therefore, the missing value in ratio 4 that makes the pair of ratios equivalent is 6.
To summarize:
1. 8
2. 8
3. 6
4. 6