You could setup fractions and cross multiply:
1 = 1x
so x = 1
1/3:x=1:3
a. 1/9
b. 1
c. 3
d. 9
1 = 1x
so x = 1
If we cross-multiply, we get:
1/3 * 3 = x * 1
The 3's cancel out, and we're left with:
1 = x
So the answer is b. 1!
Remember, math can be funny sometimes, so don't be afraid to laugh along!
We can rewrite the equation using cross-multiplication:
(1/3) * 3 = 1 * x
1 = x
So, the value of x is 1.
Therefore, the answer is b. 1.
The notation "a:b" means that the ratio of a to b is equal to the left-hand side of the equation. In this case, 1/3:x = 1:3 means that the ratio of 1/3 to x is equal to the ratio of 1 to 3.
To find the value of x, we can set up a proportion:
1/3 : x = 1 : 3
Cross-multiplying, we get:
3 * (1/3) = 1 * x
Simplifying the left side of the equation:
1 = x
Therefore, the value of x that solves the equation is 1.
So, the correct answer is:
b. 1