That's right. There shouldn't be a black wire. "S" terminal = pink (to sender in tank - left terminal on above diagram), "I" terminal = Red (12Vdc - right terminal on above diagram). The "A" (bottom/middle terminal on above diagram) terminal should be stapped over to your temp gauge as shown in the diagram that Scottymac provided above. Those are your only connections to your fuel gauge.
"We and the world will always be at war. Retreat is impossible. Arm yourselves for the conflict." Leif Enger