Question

Aisha has a piece of string that she cuts into smaller pieces. This line plot shows the length of each piece. Juan has a piece of string that is 12 as long as Aisha's seventh-longest piece. (Note: The problem states the seventh-longest piece, not the seventh-longest length.)

How long is Juan's piece of string?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answer 1

2 5/8 inches

Explanation:

There are 2 pieces 5 3/4 inches long.

There is 1 piece 5 1/2 inches long.

There are 4 pieces 5 1/4 inches long.

The seventh longest piece is one of the pieces measuring 5 1/4 inches.

Juan's piece is 1/2 as long as 5 1/4 inches.

1/2 × 5 1/4 inches = 1/2 × 21/4 = 21/8 inches = (16/8 + 5/8) = 2 5/8 inches