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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.

(2 points)
x +
=

3 answers

Let \( x \) represent the height of Cassandra's younger brother in inches. According to the problem, Cassandra's height (63 inches) is 6 inches less than 3 times her brother's height.

We can express this relationship in the form of an equation:

\[ 63 = 3x - 6 \]

To format it into the form \( px + q = r \), we can add 6 to both sides:

\[ 63 + 6 = 3x \]

Simplifying this gives:

\[ 69 = 3x \]

Now we can rewrite this equation as:

\[ 3x - 69 = 0 \]

So the equation can also appear as:

\[ 3x + (-69) = 0 \]

Thus, the final equation in the requested form \( px + q = r \) is:

\[ 3x - 69 = 0 \]

And for the formatting you provided, it can be represented as:

\[ x + (-23) = 0 \quad (\text{if we divided everything by 3}) \]

However, to be precise to the format, you might want to follow:

\[ 3x + (-69) = 0 \]

Feel free to choose based on your requirement!

the three is correct but the -69 and 0 are not

Let's clarify the equation step-by-step.

  1. We start with the information provided: Cassandra's height is 63 inches, which is 6 inches less than 3 times her younger brother's height.

  2. Let \( x \) be the height of her younger brother in inches. The relationship can be written as:

    \[ 63 = 3x - 6 \]

  3. To rearrange the equation into the form \( px + q = r \), we can add 6 to both sides:

    \[ 63 + 6 = 3x \]

    Simplifying this yields:

    \[ 69 = 3x \]

  4. Finally, we can rearrange this into the standard form of \( px + q = r \):

    \[ 3x - 69 = 0 \]

  5. Alternatively, if we express it in the specified form of \( px + q = r \), we can simply write:

    \[ 3x + 0 = 69 \]

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

\[ 3x + 0 = 69 \]

Or, maintaining the structure while moving constants to one side:

\[ 3x - 69 = 0 \]

In summary, the equation in the required format where \( p \) and \( q \) are coefficients, and \( r \) is a constant can be presented simply as:

\[ 3x + 0 = 69 \]

Please let me know if you need further clarification!