JAMB Mathematics 2023 Paper

Concept:Use fractions of the total number of items to find the number in each brand, then compare Brand B with Brand C.Explanation:Let the total number of items be $N$.Brand A items: $\frac{1}{9}N$.Remainder after Brand A: $N - \frac{1}{9}N = \frac{8}{9}N$.Brand B items: $\frac{5}{8} \times \frac{8}{9}N = \frac{5}{9}N$.Brand C items: $N - \frac{1}{9}N - \frac{5}{9}N = \frac{1}{3}N$.Given Brand C items $= 81$, so $\frac{1}{3}N = 81$.Therefore, $N = 81 \times 3 = 243$.Brand B items: $\frac{5}{9} \times 243 = 135$.Difference: $135 - 81 = 54$.Answer:The shop has $54$ more Brand B items than Brand C items.Correct option: C. 54.