Write a proportion for the statement, and then solve the proportion to find the value of the variable. $1$ is to $8$ as $x$ is to $24$
A) $\frac { 1 } { 8 } = \frac { x } { 24 }$ ; $x = 3$
B) $\frac { 1 } { 24 } = \frac { 8 } { x }$ ; $x = 3$
C) $\frac { 1 } { 8 } = \frac { x } { 24 }$ ; $x = 1$
D) $\frac { 1 } { 24 } = \frac { x } { 8 }$ ; $x = 3$
E) $\frac { 1 } { 8 } = \frac { x } { 24 }$ ; $x = 8$

Question

Quizplus · Accepted Answer

The given statement can be written as the proportion: 
$$\frac{1}{8}=\frac{x}{24}$$
To solve for $x$, we can cross-multiply to get:
$$24\cdot 1 = 8\cdot x$$
Simplifying the right side gives $8x = 24$, which can be solved for $x$ by dividing both sides by 8:
$$x=\frac{24}{8}=3$$
Therefore, the answer is choice A.

Write a Proportion for the Statement, and Then Solve the Proportion