Julie packed some candies for a party. She packed
45 of the candies into 8 blue bags and the rest into 30 violet bags. There were 95 candies altogether in 1 blue and 4 violet bags. How many candies did Julie have at first?
| |
Blue bags |
Violet bags |
| Number of bags |
8 |
30 |
| Number of candies |
4 u |
1 u |
Let 1 B be 1 blue bag.
Let 1 V be 1 violet bag.
4 u = 8 B
1 u = 2 B --- (1)
1 u = 30 V --- (2)
(1) = (2)
2 B = 30 V
1 B = 30 ÷ 2 = 15 V
1 B + 4 V = 95 --- (3)
Substitute 1 B = 15 V into (3).
15 V + 4 V = 95
19 V = 95
1 V = 95 ÷ 19 = 5
From (2)
1 u = 30 V
1 u = 30 x 5 = 150
Number of candies that Julie had at first
= 4 u + 1 u
= 5 u
= 5 x 150
= 750
Answer(s): 750
