To find the value of x that makes the ratios 2:x and 12:18 equivalent, you need to find the greatest common factor between 2 and 12, and between x and 18.
The greatest common factor between 2 and 12 is 2. To make the ratio 12:18 equivalent, you need to divide both numbers by 2, which gives you the ratio 6:9.
So, to make the ratios 2:x and 12:18 equivalent, you need to set up the following equation:
2/x = 6/9
To solve for x, you can cross-multiply and simplify:
2(9) = 6(x)
18 = 6x
x = 3
Therefore, the value of x that makes the ratios 2:x and 12:18 equivalent is 3. Answer choice A is correct.
identify the value of x that makes each pair of radios equivalent
1. 2:x and 12:18
A. 3
B. 4
C. 6
1 answer