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?

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

1 answer

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 set up the equation as follows:

\[ 3x - 6 = 63 \]

In this equation:

  • \( p = 3 \) (the coefficient of \( x \))
  • \( q = -6 \) (the constant term on the left side)
  • \( r = 63 \) (the constant term on the right side)

So the equation in the form \( px + q = r \) is:

\[ 3x - 6 = 63 \]