Cassandra measured her height as 63 inches b that is 6 inches less than 3 times her younger brothers height How tall is her younger brother.

Question

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

Answer 1

Let's denote Cassandra's younger brother's height as \( x \) inches.

According to the information given:

• Cassandra's height is \( 63 \) inches.
• This height is \( 6 \) inches less than \( 3 \) times her brother's height.

We can write the relationship as an equation:

\[ 63 = 3x - 6 \]

Now, rearranging this equation into the form \( px + q = r \):

1. Start with the equation: \[ 3x - 6 = 63 \]

2. Add \( 6 \) to both sides: \[ 3x = 63 + 6 \] \[ 3x = 69 \]

Thus, we can express this in the equation format \( px + q = r \): \[ 3x - 69 = 0 \]

So the equation that represents this problem in the form \( px + q = r \) is:

\[ 3x - 69 = 0 \]

Now, you can solve for \( x \) (the height of her younger brother): \[ 3x = 69 \implies x = \frac{69}{3} = 23 \]

Therefore, Cassandra's younger brother is \( 23 \) inches tall.