The organ system that transports nutrients to all the cells is the circulatory system.

Here's why:

* Blood: The circulatory system's primary component is blood. Blood carries nutrients, like glucose, amino acids, and fatty acids, absorbed from the digestive system.

* Heart: The heart acts as a pump, driving the blood throughout the body.

* Blood Vessels: Blood vessels, including arteries, veins, and capillaries, form a network that delivers blood to every cell.

While the digestive system breaks down food into nutrients, the circulatory system is responsible for the delivery of those nutrients to where they are needed.