Question

A recipe requires a ratio of 4 potatoes to 6 carrots. You accidentally use 5 potatoes with 6 carrots. What is the LEAST number of whole potatoes and carrots that you can add to get the correct ratio of potatoes to carrots? Hint: do not include fractions of potatoes or carrots.

Answer 1

Answer:Either add no additional potatoes and 1.5 carrots or add 1 additional potato and 3 carrots.Explanation:You accidentally added 1 too many potatoes. That's 25% more potatoes than you were meant to add. You can remedy this by adding 25% more carrots: 25100⋅6=1.5 carrots. So one option is to add 1.5 carrots.More likely, though, you're supposed to add whole numbers of potatoes and carrots. In that case, we can reduce the ratio of potatoes to carrots as: 2 potatoes to 3 carrots. Since we added 1 too many potatoes already, we could add 1 more potatoes (to get up to 2 potatoes) and then add 3 carrots to balance out those extra 2 potatoes.Either add no additional potatoes and 1.5 carrots or add 1 additional potato and 3 carrots.

Explanation: