Euclidean Algorithm (Pages 11-13)

Euclidean Algorithm (Pages 11-13)
Problem 1:
(a) 5 bouquets (4 white tulips and 3 pink tulips in each bouquet)
(b) 24 bouquets (11 white tulips and 8 pink tulips in each bouquet)
Problem 2: There are many possible answers.
One possible answer: a = 243, b = 127
243  127
1  116

1 square with
sides 127 units
127  116
1  11

1 square with
sides 116 units
116 
11

10

6
10 squares with
sides 11 units
11 
6
1
5
1 square with
sides 6 units
6
5
1
1
1 square with
sides 5 units
5
1
5
5 squares with
sides 1 unit
Problem 3:
13 mm × 13 mm
234 mm
52 mm × 52 mm
143 mm
39 mm × 39 mm
143 mm × 143 mm
91 mm × 91 mm