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?
160 pieces; 200 pieces
or
200 pieces; 160 pieces
or
18 pieces; 22 1/2 pieces
or
22 1/2 pieces; 18 pieces
To find the number of pieces needed, we need to divide the total length needed by the length of each baseboard.
For 2 2/3 yard long baseboards:
Total length needed = 60 yards
Length of each baseboard = 2 2/3 yards = 8/3 yards
Number of pieces = Total length needed / Length of each baseboard
Number of pieces = 60 yards / (8/3) yards
Number of pieces = 60 yards * 3/8 yards
Number of pieces = 180/8 pieces
Number of pieces = 22 1/2 pieces
For 3 1/3 yard long baseboards:
Total length needed = 60 yards
Length of each baseboard = 3 1/3 yards = 10/3 yards
Number of pieces = Total length needed / Length of each baseboard
Number of pieces = 60 yards / (10/3) yards
Number of pieces = 60 yards * 3/10 yards
Number of pieces = 180/10 pieces
Number of pieces = 18 pieces
So the answer is:
For 2 2/3 yard long baseboards: 22 1/2 pieces
For 3 1/3 yard long baseboards: 18 pieces