A marina has 16 docs each dock has room for the same number of boats when 101 bolts sale in they sell all the docs with five boats left over how many boats are in each dock

1 answer

Let \( x \) be the number of boats each dock can hold. Since there are 16 docks, the total capacity of the marina is \( 16x \).

According to the problem, when 101 boats are in, there are 5 boats left over. This means that the total number of boats that can be accommodated by the docks is \( 101 - 5 = 96 \).

We can set up the equation:

\[ 16x = 96 \]

Now, solving for \( x \):

\[ x = \frac{96}{16} = 6 \]

Thus, each dock can hold 6 boats.