The user-friendly version of this content is available here.

The following content is copyright (c) 2009-2013 by Goods of the Mind, LLC.

This problem trains for: SAT-I, AMC-8, GMAT, AMC-10.

Two kittens had lapped up half of the food in the bowl at the time a third kitten showed up and joined in the eating. If all the kittens eat at the same rate, how many times larger is the amount one of the first kittens ate than the amount the third kitten got?

A diagram is useful:


When the third kitten joined each of the others had eaten a quarter of the total amount of food. Half of the food is still in the bowl. This half will be divided equally among the three kittens, therefore each will eat one sixth from now on until the bowl is empty.

Each of the kittens that arrived first eats:


of the total amount, while the third kitten eats only a sixth of the total amount.

The ratio we are looking for is:


The third kitten eats 2.5 less than any of the others.