Question

Joe writes ratio of x/6 = y/18. If new value of y = 3. What is value of x?

Answer 1

Given the ratio \( \frac{x}{6} = \frac{y}{18} \).

We can cross-multiply to simplify the equation:

\[
x \cdot 18 = y \cdot 6
\]

This simplifies to:

\[
18x = 6y
\]

Now we can express \( x \) in terms of \( y \):

\[
x = \frac{6y}{18}
\]

Simplifying further:

\[
x = \frac{y}{3}
\]

Now, we are given that the new value of \( y = 3 \). Plugging this into the equation for \( x \):

\[
x = \frac{3}{3} = 1
\]

Thus, the value of \( x \) is:

\[
\boxed{1}
\]