Question

Amy and Kelly are sorting pieces of a board game. So far, they have identified five types of pieces: infantry, artillery, tanks, aircraft carriers, and battleships. The ratio of the pieces is 4 tanks to 1 artillery, 3 infantry to 2 aircraft carriers, 2 tanks to 3 battleships, and 5 infantry to 1 battleship. Which type has the most number of pieces?

Answer 1

The type with the most number of pieces is battleships, as the ratio of infantry to battleships is the highest.

Step-by-step explanation:

To find out which type has the most number of pieces, we can compare the ratios for each type and determine the one with the largest value. Let's go through each ratio:

1. The ratio of tanks to artillery is 4:1, which means for every 4 tanks, there is 1 artillery piece.
2. The ratio of infantry to aircraft carriers is 3:2, which means for every 3 infantry pieces, there are 2 aircraft carriers.
3. The ratio of tanks to battleships is 2:3, which means for every 2 tanks, there are 3 battleships.
4. The ratio of infantry to battleships is 5:1, which means for every 5 infantry pieces, there is 1 battleship.

Based on these ratios, we can conclude that the type with the most number of pieces is battleships, as the ratio of infantry to battleships is the highest.