Kylie packed some candies for a party. She packed
34 of the candies into 15 blue bags and the rest into 10 violet bags. There were 16 candies altogether in 1 blue and 2 violet bags. How many candies did Kylie have at first?
|
Blue bags |
Violet bags |
Number of bags |
15 |
10 |
Number of candies |
3 u |
1 u |
Let 1 B be 1 blue bag.
Let 1 V be 1 violet bag.
3 u = 15 B
1 u = 5 B --- (1)
1 u = 10 V --- (2)
(1) = (2)
5 B = 10 V
1 B = 10 ÷ 5 = 2 V
1 B + 2 V = 16 --- (3)
Substitute 1 B = 2 V into (3).
2 V + 2 V = 16
4 V = 16
1 V = 16 ÷ 4 = 4
From (2)
1 u = 10 V
1 u = 10 x 4 = 40
Number of candies that Kylie had at first
= 3 u + 1 u
= 4 u
= 4 x 40
= 160
Answer(s): 160