2:x and 12:18
1.2?
no. Try it like this
2/x = 12/18 = 2/3
To find the value of x in the ratio 2:x, we need to set up a proportion. A proportion is an equation that shows that two ratios are equal. In this case, we'll set up the proportion using the given ratio 2:x:
2/x = 12/18
First, we simplify the ratio on the right side of the equation by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 6 in this case:
2/x = 12/18
2/x = (12 ÷ 6)/(18 ÷ 6)
2/x = 2/3
Now, we can cross-multiply the terms of the proportion:
2 * 3 = 2 * x
6 = 2x
To solve for x, divide both sides of the equation by 2:
6/2 = x
3 = x
Therefore, the value of x in the ratio 2:x is 3.