Winnie packed some candies for a party. She packed
67 of the candies into 54 blue bags and the rest into 18 violet bags. There were 10 candies altogether in 1 blue and 3 violet bags. How many candies did Winnie have at first?
| |
Blue bags |
Violet bags |
| Number of bags |
54 |
18 |
| Number of candies |
6 u |
1 u |
Let 1 B be 1 blue bag.
Let 1 V be 1 violet bag.
6 u = 54 B
1 u = 9 B --- (1)
1 u = 18 V --- (2)
(1) = (2)
9 B = 18 V
1 B = 18 ÷ 9 = 2 V
1 B + 3 V = 10 --- (3)
Substitute 1 B = 2 V into (3).
2 V + 3 V = 10
5 V = 10
1 V = 10 ÷ 5 = 2
From (2)
1 u = 18 V
1 u = 18 x 2 = 36
Number of candies that Winnie had at first
= 6 u + 1 u
= 7 u
= 7 x 36
= 252
Answer(s): 252
