The grade 8 learners decided to start living more healthily. They will either jog or cycle. There are 125 Grade 8 learners, and they jog and cycle in the ratio 3.2 Calculate how many learners participate in each sport?

Let the number of learners who jog be \( j \) and those who cycle be \( c \). Given the ratio of joggers to cyclists is \( 3:2 \), we write: \[ \frac{j}{c} = \frac{3}{2} \] which implies: \[ j = \frac{3}{2}c \] We are also given that the total number of learners is 125: \[ j + c = 125 \] Substitute \( j = \frac{3}{2}c \) into the total: \[ \frac{3}{2}c + c = 125 \] Combine the terms: \[ \left(\frac{3}{2} + 1\right)c = 125 \] Convert 1 to \(\frac{2}{2}\) to sum easily: \[ \left(\frac{3}{2} + \frac{2}{2}\right)c = \frac{5}{2}c = 125 \] Solve for \( c \) by multiplying both sides by \(\frac{2}{5}\): \[ c = 125 \cdot \frac{2}{5} = 50 \] Now substitute \( c = 50 \) back into \( j = \frac{3}{2}c \): \[ j = \frac{3}{2} \cdot 50 = 75 \] Thus, the number of learners who jog is \( 75 \) and those who cycle is \( 50 \).