Question

jackson, monica, and franklin are siblings. monicas age is $\frac{1}{2}$ of jacksons age, and franklins age is $\frac{2}{3}$ of jacksons age. the sum of all of their ages is 36.
which equation represents the ages, based on jacksons age, $j$?
$\bigcirc$ $\frac{1}{2}j + \frac{2}{3}j = 36$
$\bigcirc$ $j + \frac{1}{2}j + \frac{2}{3}j = 36$
$\bigcirc$ $36j + \frac{1}{2}j + \frac{2}{3}j = j$
$\bigcirc$ $j + 2j + \frac{2}{3}j = 36$

Explanation:

Step1: Define each sibling's age

Jackson's age: $j$
Monica's age: $\frac{1}{2}j$
Franklin's age: $\frac{2}{3}j$

Step2: Sum ages equal to 36

$j + \frac{1}{2}j + \frac{2}{3}j = 36$

Answer:

B. $j + \frac{1}{2}j + \frac{2}{3}j = 36$