Wendy packed some candies for a party. She packed
56 of the candies into 50 blue bags and the rest into 10 violet bags. There were 12 candies altogether in 1 blue and 3 violet bags. How many candies did Wendy have at first?
| |
Blue bags |
Violet bags |
| Number of bags |
50 |
10 |
| Number of candies |
5 u |
1 u |
Let 1 B be 1 blue bag.
Let 1 V be 1 violet bag.
5 u = 50 B
1 u = 10 B --- (1)
1 u = 10 V --- (2)
(1) = (2)
10 B = 10 V
1 B = 10 ÷ 10 = 1 V
1 B + 3 V = 12 --- (3)
Substitute 1 B = 1 V into (3).
1 V + 3 V = 12
4 V = 12
1 V = 12 ÷ 4 = 3
From (2)
1 u = 10 V
1 u = 10 x 3 = 30
Number of candies that Wendy had at first
= 5 u + 1 u
= 6 u
= 6 x 30
= 180
Answer(s): 180
