Mrs. Peterson is going to install new baseboard in her living room, family room, and dining room. The total length of baseboard needed is 60 yards. If Mrs. Peterson buys 2 2/3 yard long baseboards, how many pieces will she need? If she buys 3 1/3 yard long baseboards, how many pieces will she need?
A 18 pieces, 22 1/2 pieces
B 160 pieces, 200 pieces
C 22 1/2 pieces, 18 pieces
D 200 pieces, 160 pieces
To find the number of pieces needed, we need to divide the total length needed by the length of each baseboard.
For baseboards that are 2 2/3 yard long:
Number of pieces = Total length needed / Length of each baseboard
Number of pieces = 60 yards / (2 2/3) yards
Number of pieces = 60 / (8/3)
Number of pieces = 60 * (3/8)
Number of pieces = 225/4
Number of pieces = 56 1/4 pieces
For baseboards that are 3 1/3 yard long:
Number of pieces = Total length needed / Length of each baseboard
Number of pieces = 60 yards / (3 1/3) yards
Number of pieces = 60 / (10/3)
Number of pieces = 60 * (3/10)
Number of pieces = 180/10
Number of pieces = 18 pieces
Therefore, the correct answer is:
A) 56 1/4 pieces, 18 pieces.