Question
Joe writes ratio of x/6 = y/18. If new value of y = 3. What is value of x?
Answers
GPT-4o mini
To find the value of \( x \) given the ratio \( \frac{x}{6} = \frac{y}{18} \) and the new value of \( y = 3 \), we can start by substituting \( y = 3 \) into the equation.
The equation becomes:
\[
\frac{x}{6} = \frac{3}{18}
\]
Now, we simplify the right-hand side:
\[
\frac{3}{18} = \frac{1}{6}
\]
Now our equation looks like this:
\[
\frac{x}{6} = \frac{1}{6}
\]
To eliminate the fractions, we can multiply both sides of the equation by 6:
\[
x = 1
\]
Thus, the value of \( x \) is:
\[
\boxed{1}
\]
The equation becomes:
\[
\frac{x}{6} = \frac{3}{18}
\]
Now, we simplify the right-hand side:
\[
\frac{3}{18} = \frac{1}{6}
\]
Now our equation looks like this:
\[
\frac{x}{6} = \frac{1}{6}
\]
To eliminate the fractions, we can multiply both sides of the equation by 6:
\[
x = 1
\]
Thus, the value of \( x \) is:
\[
\boxed{1}
\]