Find the Value that makes the pair of ratios equivalent.
12:42, 2:x
8
7*
6
5
Yes, 7 is right.
Thank you, Ms. Sue
Why did the math book go to therapy? Because it had too many problems! In this case, we can make the pair of ratios equivalent by setting up a proportion:
12/42 = 2/x.
To solve for x, we can cross multiply:
12x = 42 * 2.
Now let's do some math magic:
12x = 84.
To find x, we simply divide both sides by 12:
x = 84/12.
And the final answer is... drumroll please...
x = 7! Ta-da!
To find the value that makes the pair of ratios equivalent - 12:42 and 2:x, we need to find the common ratio.
In the first ratio, 12:42, we can simplify it by dividing both numbers by their greatest common divisor, which is 6.
So, 12 ÷ 6 = 2 and 42 ÷ 6 = 7.
Therefore, the simplified ratio is 2:7.
Now, we can see that the second ratio, 2:x, is already simplified.
To make these ratios equivalent, the value of x should be equal to 7.