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? Simplify your answer.

A) 32 pieces
B) 38 pieces
C) 42 pieces
D) 48 pieces

Answer 1

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

Step-by-step explanation:

To find the number of pieces the art student will cut, we need to find the total amount of paper used for both boxes and divide it by the length of each piece.

For the first box, the student will use 1 1/4 yards of paper. Since each piece is 1/8 yard long, we divide 1 1/4 by 1/8:

1 1/4 ÷ 1/8 = 5/4 × 8/1 = 40/4 = 10 pieces

For the second box, the student will use 7/8 yard of paper. Again, we divide 7/8 by 1/8:

7/8 ÷ 1/8 = 7/8 × 8/1 = 56/8 = 7 pieces

Adding the number of pieces from both boxes, the student will cut a total of 10 + 7 = 17 pieces of paper.