**Answer:**

Both will charge $6,904 when they transport 16 tons of sugar.

**Explanation:**

The amount of sugar to be transported is S, since we need to calculate at which amount of sugar both truck companies charge the same total price, we need to solve the following:

first company charges $4,500 + $150.25 S

second company charges $3,696 + $200.50 S

since both companies will charge the same total amount, then

$4,500 + $150.25 S = $3,696 + $200.50 S

$4,500 - $3,696 = $200.50 S - $150.25 S

$804 = $50.25 S

$804 / $50.25 = S

S = 16

$4,500 + ($150.25 x 16) = $4,500 + $2,404 = $6,904