The difference between the total lengths of the red cedar and tiger maple boards is 48 inches.
Jason purchased a red cedar board and a tiger maple board for making picture frames. He plans to cut the red cedar board into eight pieces, each measuring 10 inches, while the tiger maple board will be divided into sixteen pieces, each measuring 8 inches. To determine the difference in total lengths between the two types of boards, we can calculate the total length of each board by multiplying the number of pieces by their respective lengths.
The total length of the red cedar board is 8×10=80 inches, and the total length of the tiger maple board is 16×8=128 inches. The difference between these totals is 128−80=48 inches. Therefore, the difference in total lengths between the red cedar and tiger maple boards is 48 inches.
Complete ques:
Jason bought two different types of boards to make picture frames. He bought a red cedar board and will cut it into eight 10-inch pieces. He also bought a tiger maple board that he will cut into sixteen 8-inch pieces. Determine the difference between the boards' total lengths. in.