Julie packed some candies for a party. She packed
45 of the candies into 16 blue bags and the rest into 8 violet bags. There were 12 candies altogether in 1 blue and 2 violet bags. How many candies did Julie have at first?
| |
Blue bags |
Violet bags |
| Number of bags |
16 |
8 |
| Number of candies |
4 u |
1 u |
Let 1 B be 1 blue bag.
Let 1 V be 1 violet bag.
4 u = 16 B
1 u = 4 B --- (1)
1 u = 8 V --- (2)
(1) = (2)
4 B = 8 V
1 B = 8 ÷ 4 = 2 V
1 B + 2 V = 12 --- (3)
Substitute 1 B = 2 V into (3).
2 V + 2 V = 12
4 V = 12
1 V = 12 ÷ 4 = 3
From (2)
1 u = 8 V
1 u = 8 x 3 = 24
Number of candies that Julie had at first
= 4 u + 1 u
= 5 u
= 5 x 24
= 120
Answer(s): 120
