Since she can arrange it in sets let N=total number of spoons so N mod7 1 ---->7a+1=n where a is a natural num N mod 8 7---->8b+7=n where b is a natural num N mod 15 3----->15c+3=n where c is a natural n for the first set {8,15,22,29,36,43,50,57,65,71....} for the second set {15,23,31,39,47,55,63,71,79..} for the third set {18,33,48,63,78,....} and find them manually but what is easier is to solve them using algebra and logic (college level) N=840m+183 where m is zero or a postive integer so the only N below 200 is 183 let us check 183/7=26 R 1 183/8=22 R 7 183/15=12 R 3 which means our soultion is correct
Given that volume is: V=s³ where: s=side length The volume of a cube whose side length, s=3/4 yards will be given by: V=(3/4)³ Simplifying this we get: V=27/64 yd³
