SOLUTION: 54 pupils, 2/3 of them owned space hoppers. 1/4 of those used them to bounce to shops, 1/3 used them to bounce to see their friends and 2/9 only bounced them when their relatives v

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: 54 pupils, 2/3 of them owned space hoppers. 1/4 of those used them to bounce to shops, 1/3 used them to bounce to see their friends and 2/9 only bounced them when their relatives v      Log On


   



Question 412423: 54 pupils, 2/3 of them owned space hoppers. 1/4 of those used them to bounce to shops, 1/3 used them to bounce to see their friends and 2/9 only bounced them when their relatives visited, the rest has used them once only, how many pupils has used them once?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The fraction of 54 pupils that didn't use them once is:
%282%2F3%29%2A%281%2F4+%2B+1%2F3+%2B+2%2F9%29
4%2A9+=+36 is the LCD and nothing smaller will work
%282%2F3%29%2A%289%2F36+%2B+12%2F36+%2B+4%2F36%29
%282%2F3%29%2A%2825%2F36%29
50%2F108+=+25%2F54
This is the fraction of 54 pupils who DID NOT use it just once,
so the fraction who used it only once is:
1+-+25%2F54+=+54%2F54+-+25%2F54
54%2F54+-+25%2F54+=+29%2F54
The number of pupils who used them only once is 54%2A%2829%2F54%29+=+29