Question

At a summer camp the campers can choose one of three programmes: camp craft, water sports or hiking. During the first week of camp the campers chose the programmes in the ratio 7:5:8. During the second week of camp the same number of campers chose the programmes in the ratio 7:6:4. Did more campers choose the camp craft programme in the first or second week? How many more?

Answer 1

Answer: Second week

Explanation:

Given

In first week, campers choose programmes in the ratio of
`7:5:8`

In second week, this ratio becomes
`7:6:4`

Suppose 100 campers Joined the camp

Number of hikers who choose camp craft in first week are

`\Rightarrow (7)/(7+5+8)* 100=(7)/(20)* 100\\\\\Rightarrow 35`

Number of hikers who choose camp craft in second week are

`\Rightarrow (7)/(7+6+4)* 100=(7)/(17)* 100\\\\\Rightarrow 41.17\approx 41`

Therefore, in second week more campers take part in camp craft.

If 100 campers take part then, 6 more campers takes part in camp craft.