Question 1129133

three girls share a packet of sweet. the first received 2/5 of the sweets. the second received 5/9 of the remainder and the third got 8 sweets.how many sweet were in the packet?
<pre>With the 1st girl getting {{{2/5}}}, {{{3/5}}} remains
With the 2nd girl getting {{{5/9}}} of remainder, {{{matrix(1,6, (4/9), "*", (3/5), or, 4/15, remains)}}}
With the 3rd receiving {{{matrix(1,3, 4/15, or, 8)}}}, we get: {{{matrix(1,3, 4/15, "=", 8/N)}}}, with N being the original number
4N = 8(15) ------ Cross-multiplying 
N, or original number = {{{highlight_green(matrix(1,4, 8(15)/4, "=", 30, sweets))}}}