There were some avocados in 3 boxes, E, F and G. 30% of the number of avocados in Box E was equal to 60% of the number of avocados in Box F. The number of avocados in Box G was 60% of the total number of avocados in Box E and F. After Oscar removed 20% of the avocados in Box G, there were 88 more avocados in Box F than in Box G. In the end, how many avocados should be transferred from Box F to Box G so that the avocados in Box G would be the same as Box E?
There were some avocados in 3 boxes, E, F and G. 30% of the number of avocados in Box E was equal to 60% of the number of avocados in Box F. The number of avocados in Box G was 60% of the total number of avocados in Box E and F. After Oscar removed 20% of the avocados in Box G, there were 88 more avocados in Box F than in Box G. In the end, how many avocados should be transferred from Box F to Box G so that the avocados in Box G would be the same as Box E?
I do not think that this scenario is possible.
30% of the number of avocados in Box E was equal to 60% of the number of avocados in Box F
so
0.3E=0.6F
E=2F
So in the beginning there are 2 times more in box E than in box F (And each one has a muliple of 10)
G=0.6(E+F)
G=0.6(3F)
G=1.8F
Now 20% are removed from box G
so box G will then have 0.8*1.8F = 1.44F
So now
box1 (originally called box E) | Box2 (originally called box F) | box3 (originally called box G) |
2F | F | 1.44F |
It is clear that there are now mow avocados in the last box than in the middle one.
So there cannot be 88 more in the middle one, that is a contradiction.