Emily packed some candy sticks for a party. She packed
56 of the candy sticks into 15 blue bags and the rest into 15 violet bags. There were 72 candy sticks altogether in 1 blue and 4 violet bags. How many candy sticks did Emily have at first?
| |
Blue bags |
Violet bags |
| Number of bags |
15 |
15 |
| Number of candy sticks |
5 u |
1 u |
Let 1 B be 1 blue bag.
Let 1 V be 1 violet bag.
5 u = 15 B
1 u = 3 B --- (1)
1 u = 15 V --- (2)
(1) = (2)
3 B = 15 V
1 B = 15 ÷ 3 = 5 V
1 B + 4 V = 72 --- (3)
Substitute 1 B = 5 V into (3).
5 V + 4 V = 72
9 V = 72
1 V = 72 ÷ 9 = 8
From (2)
1 u = 15 V
1 u = 15 x 8 = 120
Number of candy sticks that Emily had at first
= 5 u + 1 u
= 6 u
= 6 x 120
= 720
Answer(s): 720
