There are 36 blueberry shortbreads, 48 banana shortbreads and 16 vanilla shortbreads. All the shortbreads are placed into the most number of boxes such that the number of each type of shortbreads is the same in all the boxes. Each box contains 3 different types of shortbreads. How many shortbreads are there in each box?
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 16: 1, 2, 4, 8, 16
Highest common factor = 4
Number of blueberry shortbreads in each box
= 36 ÷ 4
= 9
Number of banana shortbreads in each box
= 48 ÷ 4
= 12
Number of vanilla shortbreads in each box
= 16 ÷ 4
= 4
Total number of shortbreads in each box
= 9 + 12 + 4
= 25
Answer(s): 25
