Question

There are 125 grade 8 learners and they jog and cycle in the ratio 3:2. Calculate how many learners participate in each sport

Answer 1

Given:

There is 125 grade 8 learners and they jog and cycle in the ratio of 3:2.

To find:

How many learners participate in each sport?

Solution:

In grade 8, no. of learners who jog and cycle = 125

The ratio of learners who jog and cycle = 3:2

Let,

"3x" → no. of learners who participate in jogging

"2x" → no. of learners who participate in cycling

Therefore, we can form the equation as:

$3x + 2x = 125$

$\implies 5x = 125$

$\implies x = \frac{125}{5}$

$\implies \bold{x = 25}$

∴ 3x = 3 × 25 = 75

∴ 2x = 2 × 25 = 50

Thus, the learners participating in each sport:

$\boxed{\bold{Participate\:in \:jogging \rightarrow \underline{75} }}\\\\\boxed{\bold{Participate\:in \:cycling \rightarrow \underline{50} }}$

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