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
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+
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=
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to represent this problem.

(2 points)
x
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+ =

Answer 1

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

According to the problem, Cassandra's height (63 inches) is 6 inches less than 3 times her brother's height. We can set up the equation based on this information:

\[ 3x - 6 = 63 \]

Now, to put this in the form \( px + q = r \):

Rearranging gives:

1. Move the -6 to the other side: \[ 3x = 63 + 6 \] \[ 3x = 69 \]

So now we can express this in the form \( px + q = r \):

• Here \( p = 3 \), \( q = 0 \) (because we have no additional constant on the left side), and \( r = 69 \).

Thus, the equation is: \[ 3x + 0 = 69 \]

So, it can be written as: \[ 3x = 69 \]

You can also represent this as: \[ 3x - 69 = 0 \]

But adhering strictly to \( px + q = r \), we have: \[ 3x + 0 = 69 \]

Answer 2

wrong

Answer 3

Apologies for any confusion! Let's carefully set up the equation again based on the information provided.

Cassandra's height is given as 63 inches, and it is stated that this is 6 inches less than 3 times her younger brother's height.

Let’s denote her younger brother's height as \( x \).

From the problem statement: \[ 63 = 3x - 6 \]

Now, we need to rearrange this into the form \( px + q = r \).

First, add 6 to both sides to isolate the term involving \( x \): \[ 63 + 6 = 3x \] \[ 69 = 3x \]

Now, rearranging this to fit the equation format: \[ 3x - 69 = 0 \]

So now we express this as: \[ 3x + 0 = 69 \]

Here, we can say:

• \( p = 3 \)
• \( q = 0 \)
• \( r = 69 \)

The final equation in the form \( px + q = r \) is: \[ 3x + 0 = 69 \]

If you meant to express it differently or if there's something specific you need, please let me know!