Joelle packed some candy sticks for a party. She packed
67 of the candy sticks into 12 blue bags and the rest into 28 violet bags. There were 32 candy sticks altogether in 1 blue and 2 violet bags. How many candy sticks did Joelle have at first?
| |
Blue bags |
Violet bags |
| Number of bags |
12 |
28 |
| Number of candy sticks |
6 u |
1 u |
Let 1 B be 1 blue bag.
Let 1 V be 1 violet bag.
6 u = 12 B
1 u = 2 B --- (1)
1 u = 28 V --- (2)
(1) = (2)
2 B = 28 V
1 B = 28 ÷ 2 = 14 V
1 B + 2 V = 32 --- (3)
Substitute 1 B = 14 V into (3).
14 V + 2 V = 32
16 V = 32
1 V = 32 ÷ 16 = 2
From (2)
1 u = 28 V
1 u = 28 x 2 = 56
Number of candy sticks that Joelle had at first
= 6 u + 1 u
= 7 u
= 7 x 56
= 392
Answer(s): 392
