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?

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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 $$ 50 $$.
75 learners jog and 50 learners cycle.

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?

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