There are 42 cherry tarts, 36 strawberry tarts and 48 vanilla tarts. All the tarts are placed into the most number of boxes such that the number of each type of tarts is the same in all the boxes. Each box contains 3 different types of tarts. How many tarts are there in each box?
Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
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
Highest common factor = 6
Number of cherry tarts in each box
= 42 ÷ 6
= 7
Number of strawberry tarts in each box
= 36 ÷ 6
= 6
Number of vanilla tarts in each box
= 48 ÷ 6
= 8
Total number of tarts in each box
= 7 + 6 + 8
= 21
Answer(s): 21
