1. **State the problem:** Lorna took three friends to the zoo, so there are 4 people in total (Lorna + 3 friends). 2. **Given information:** - Bus fare per person = 5.50 - Total spent by Lorna on fares and admission = 10 - Admission cost per person = unknown, call it $x$ 3. **Write the equation:** Total cost = Total bus fares + Total admission cost $$10 = 4 \times 5.50 + 4 \times x$$ 4. **Calculate total bus fares:** $$4 \times 5.50 = 22$$ 5. **Substitute and simplify:** $$10 = 22 + 4x$$ 6. **Isolate $x$:** $$10 - 22 = 4x$$ $$\cancel{10 - 22} = \cancel{4x}$$ $$-12 = 4x$$ 7. **Divide both sides by 4:** $$\frac{-12}{\cancel{4}} = \frac{4x}{\cancel{4}}$$ $$-3 = x$$ 8. **Interpretation:** The admission cost per person is $-3$, which is impossible (cost cannot be negative). This means there is an inconsistency in the problem data or interpretation. **Final answer:** The problem data leads to an impossible negative admission cost, so please check the problem details for accuracy.