Question

which sentence represents the equation?
r - (4 + p) = \frac{1}{3}r

a) r minus the sum of 4 and p equals \frac{1}{3} times r
b) r minus 4 plus p equals \frac{1}{3} times r
c) the sum of 4 and p equals \frac{1}{3}
d) r minus 4 minus p equals r cubed

Explanation:

First, break down the equation $r-(4+p)=\frac{1}{3}r$:

• $4+p$ is the sum of 4 and $p$.
• $r-(4+p)$ translates to $r$ minus the sum of 4 and $p$.
• $\frac{1}{3}r$ is $\frac{1}{3}$ times $r$.

Match this to the options: Option A correctly describes all parts, while B ignores the parentheses (treating it as $r-4+p$ instead of $r-(4+p)$), C omits $r$ terms entirely, and D incorrectly uses "r cubed" instead of $\frac{1}{3}r$.

Answer:

A) $r$ minus the sum of 4 and $p$ equals $\frac{1}{3}$ times $r$