BECE Mathematics 2023 Paper

Concept:Percentage is calculated as $\frac{\text{part}}{\text{total}} \times 100\%$.Here, the part is the walking time and the total is the whole journey time.Explanation:First, convert the mixed fractions into improper fractions.Walking time: $22\frac{1}{2} = \frac{22 \times 2 + 1}{2} = \frac{45}{2}$ minutes.Running time: $7\frac{1}{2} = \frac{7 \times 2 + 1}{2} = \frac{15}{2}$ minutes.Total time taken to reach school:$\frac{45}{2} + \frac{15}{2} = \frac{60}{2} = 30$ minutes.Now, find the percentage of total time spent walking.Percentage of walking $= \frac{\frac{45}{2}}{30} \times 100\%$$= \frac{45}{2} \times \frac{1}{30} \times 100\%$$= \frac{45 \times 100}{2 \times 30}\%$$= \frac{4500}{60}\%$$= 75\%$.So, John spends $75\%$ of the total time walking.Answer:$75\%$, which is option D.