Question

On Friday, there were 8 skaters for every 3 skateboarders at a local park. On Saturday, the ratio of the number of skaters to the number of skateboarders was 2:5 There were 168 skaters at the skateboarder at the park on Friday. There were the same number of people at the park on Saturday as there were on Friday. How many more skateboarders were there than skaters at the park on Saturday?

Answer 1

Answer: There were 99 more skateboarders than skaters at the park on Saturday.

Explanation:

Let there were 8x skaters and 3x skateboarders on Friday.

There were 168 skaters on Friday.

So,
`8x=168`

`\Rightarrow\ x=(168)/(8)=21`

3x = 3 (21)=63

Total skaters and skateboarders on Friday = 168+63 = 231

Also, the ratio of the number of skaters to the number of skateboarders was 2:5

Let there were 2x skaters and 5x skateboarders on Saturday.

Then,

`2x+5x= 231\\\\\Rightarrow\ 7x = 231\\\\\Rightarrow\ x=(231)/(7)`

`\Rightarrow\ x=33`

Number of skaters = 2(33) = 66

Number of skateboarders = 5(33) = 165

Difference = 165-66= 99

Hence, there were 99 more skateboarders than skaters at the park on Saturday.