Question

. There are four children in the Velez family. Alano is 1 1/2 times as tall as Lupe, and 6 inches taller than Olivia. Nelia is 56 inches tall, which is 2 inches taller than Olivia. How tall is Lupe?A. 40 in. B. 50 in. C. 54 in. D. 56 in.

Answer 1

Let's use the variable A to represent Alano's height, L to represent Lupe's height, O to represent Olivia's height and N to represent Nelia's height.

So using the information given, we can write the following equations:

$\begin{gathered} A=1.5\cdot L \\ A=O+6 \\ N=56 \\ N=O+2 \end{gathered}$

Now, in order to find Lupe's height, let's first find Olivia's height, then Alano's height, and finally Lupe's height:

$\begin{gathered} N=O+2 \\ 56=O+2 \\ O=56-2 \\ O=54 \\ \\ A=O+6 \\ A=54+6 \\ A=60 \\ \\ A=1.5\cdot L \\ 60=1.5\cdot L \\ L=\frac{60}{1.5} \\ L=40 \end{gathered}$

So Lupe's height is 40 inches, therefore the correct option is A.