Question

Moussa and Genesis are helping their friend move. Moussa can move one box for every three boxes that Genesis can move. If Moussa moves seven boxes, how many boxes can Genesis move?

Answer 1

Let the number of boxes Genesis can move be represented by \( g \) and the number of boxes Moussa can move as \( m \).

It is given that Moussa can move one box for every three boxes that Genesis can move. This can be expressed as:

\[
m = \frac{1}{3} g
\]

If Moussa moves seven boxes, we have:

\[
m = 7
\]

Now, we can substitute this value into our equation:

\[
7 = \frac{1}{3} g
\]

To find \( g \), we can multiply both sides of the equation by 3:

\[
g = 7 \times 3
\]

Calculating the right-hand side, we have:

\[
g = 21
\]

Therefore, if Moussa moves 7 boxes, Genesis can move \( \boxed{21} \) boxes.