Question

A farm stand sells cider from two bar ells.The smaller barrel holds 336 L, but it is now 5/6 full. The farmer empties this cider into the other barrel and finds that the cider fills only 4/9 of it. How much cider would the larger barrel hold when full?


My guess 404

Answer 1

The smaller barrel holds 336 L, but it is only 5/6 full.

1/6 of 336 is 336/6 = 56 L

So 5/6 of 336 is 5 times this amount:
5 x 56 = 280 L of apple cider in the smaller barrel.

The 280 L is now poured into the larger barrel.
This 280 L fills 4/9 of the barrel.
Find how much fills 1/9 of the barrel:
280/4 = 70 L
If 70 L fills 1/9 of the barrel, then 70 x 9 = 630 L fills 9/9 of the barrel (i.e. fills the whole barrel).