Write a proportion for the statement, and then solve the proportion to find the value of the variable. $3$ is to $24$ as $2$ is to $u$
A) $\frac { 3 } { u } = \frac { 24 } { 2 }$ ; $u = 1.5$
B) $\frac { 3 } { u } = \frac { 2 } { 24 }$ ; $u = 16$
C) $\frac { 3 } { 24 } = \frac { 2 } { u }$ ; $u = 16$
D) $\frac { 3 } { 24 } = \frac { 2 } { u }$ ; $u = 3$
E) $\frac { 3 } { u } = \frac { 2 } { 16 }$ ; $u = 24$

Question

Quizplus · Accepted Answer

We can set up the proportion as $\frac{3}{24} = \frac{2}{u}$, where the numerator on the left side is corresponding to the numerator on the right side, and the denominator on the left side is corresponding to the denominator on the right side. Then, we can solve for $u$ by cross-multiplying: $3u = 48 \Rightarrow u = 16$. Therefore, the answer is choice C.

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