If the ratio of rise to run is to be $\frac { 2 } { 3 }$ for some stairs and the measure of the run is 24 centimeters, find the measure of the rise to the nearest centimeter.
A)36 cm
B)15 cm
C)16 cm
D)26 cm
E)31 cm

Question

Quizplus · Accepted Answer

We know that the ratio of rise to run is $\frac{2}{3}$. Let's call the rise "r" and plug in the given measure of the run: 
$$\frac{r}{24}=\frac{2}{3}$$
To solve for r, we can cross-multiply: 
$$r = \frac{2}{3} \cdot 24 = 16$$
So the measure of the rise is 16 cm. Rounded to the nearest centimeter, this is 16 cm. Therefore, the answer is C.

If the Ratio of Rise to Run Is to Be 23\frac { 2 } { 3 }32​

If the Ratio of Rise to Run Is to Be $\frac { 2 } { 3 }$