Potatoes to carrots

Question

A recipes requires 4 potatoes to 6 carrots. You accidentally use 5 potatoes to 6 carrots. what is the lease number of potatoes and carrots that you can add toGet the carrot ration of potatoes to carrots?

Answer 1

Ratios may be reduced like fractions, so 4:6 is the same as 2:3.

 

The next higher x:y that reduces to 2:3 is 3*2:3*3 or 6:9, so 1 more potato and 3 more carrots will recover the ratio.