Cassandra measured her height as 63 inches. That is 6 inches less than 3 times her younger brother's height. How tall is her younger brother?

Question

Write an equation in the form px + q = r to represent this problem.

Answer 1

Let $x$ represent the height of Cassandra's younger brother in inches. According to the problem, Cassandra's height of 63 inches is 6 inches less than 3 times her brother's height. We can translate this statement into an equation.

The equation can be set up as follows:

$$3x-6=63$$

This equation is now in the form $px+q=r$, where:

• $p=3$
• $q=-6$
• $r=63$

Now, to find the height of her younger brother, we can solve this equation.

First, add 6 to both sides:

$$3x=63+6$$ $$3x=69$$

Next, divide both sides by 3:

$$x=\frac{69}{3}$$ $$x=23$$

Thus, Cassandra's younger brother is 23 inches tall.