1. **Stating the problem:** Mr. Nig Otiator has three types of cars: petrol, diesel, and electric. We know: - 24 cars are not petrol - 30 cars are not diesel - 26 cars are not electric We need to find the total number of cars. 2. **Understanding the problem:** Let the total number of cars be $T$. - Cars not petrol = $T - P = 24$ where $P$ is petrol cars. - Cars not diesel = $T - D = 30$ where $D$ is diesel cars. - Cars not electric = $T - E = 26$ where $E$ is electric cars. 3. **Using the formulas:** From above, $$P = T - 24$$ $$D = T - 30$$ $$E = T - 26$$ 4. **Important rule:** Since all cars are either petrol, diesel, or electric, the total cars $T$ is the sum of all three types: $$P + D + E = T$$ 5. **Substitute values:** $$ (T - 24) + (T - 30) + (T - 26) = T $$ 6. **Simplify:** $$ 3T - (24 + 30 + 26) = T $$ $$ 3T - 80 = T $$ 7. **Solve for $T$:** $$ 3T - T = 80 $$ $$ 2T = 80 $$ $$ T = \frac{80}{2} = 40 $$ **Final answer:** Mr. Otiator has **40** cars.