Question

Macy is painting a design that contains two repeating patterns. One pattern repeats every 8 inches. The other repeats every 12 inches. The design is 19 feet long. Both patterns begin at the same place. Use the pattern pieces to create a sample of the design. Use the pattern pieces to determine the number of times the patterns begin at the same place._________

8-inch pattern:_________
12-inch pattern:_________

Answer 1

8-inch pattern is fully printed 28 times.

12-inch pattern is fully printed 19 times.

Patterns start at the same place 9 times

Explanation:

1. 19 feet is 228 inches.

2. 8-inch pattern is fully printed 28 times.

3. 12-inch pattern is fully printed 19 times.

4. 8-inch patterns starts at`0,8,16,24,32,40,48...

5. 12-inch pattern starts at 0,12,24,48...

6. As you see they start at the same place after 24 inches.

7. 228/24=9.5, => They start at the same place 9 times.