Question

An art student uses a roll of wallpaper to decorate two gift boxes. The student will use 1 1/4 yards of paper for one box and 7/8 yard of paper for the other box. The paper must be cut into pieces that are 1/8 yard long. How many pieces will the student cut to use for the gift boxes?

A) 30
B) 36
C) 40
D) 45

Answer 1

To determine the number of pieces the art student will cut for the gift boxes, the lengths of wallpaper in yards are converted to eighths and then summed up. The total is then divided by the length per piece, yielding 17 pieces.

Step-by-step explanation:

The art student requires a total length of wallpaper for both gift boxes, which is the sum of 1 1/4 yards and 7/8 yard. First, convert these measurements to eighths of a yard, since each piece of wallpaper the student cuts must be 1/8 yard long. Therefore, 1 1/4 yards is the same as 10/8 yards and 7/8 yard is the same as 7/8 yards. Adding these together gives us 17/8 yards in total.

Next, to determine how many pieces of 1/8 yard the student can cut from this length, divide the total number of eighths by 1/8.

1. Convert yards: 1 1/4 yards + 7/8 yard = 10/8 + 7/8 = 17/8 yards.
2. Divide by 1/8 yard to find the number of pieces: 17/8 ÷ 1/8 = 17/1 = 17 pieces.

The art student will cut 17 pieces of wallpaper for the gift boxes.