Question

42 students are picking two activities to do over the weekend.5 picked painting and sport.

8 did not pick painting or sport.
Twice as many students picked sport than painting as one of their activities.Find the amount that picked sport and not painting.

Answer 1

25/3

Explanation:

Let's call the number of students who picked sport "s" and the number of students who picked painting "p". We know:

p + s = 5 (the number of students who picked painting and sport)

42 - p - s = 8 (the number of students who did not pick either)

s = 2p (twice as many picked sport as painting)

From the first equation, we can solve for p:

`\sf:\implies{p + 2p = 5}`

`\sf:\implies{3p = 5}`

`\sf:\implies{p = 5/3}`

So, 5 students picked painting and 10 students picked sport. And the number of students who picked sport but not painting is:

s - p = 10 - 5/3 = 10 - 5/3 = 25/3.