Anna packed some lollipops for a party. She packed
56 of the lollipops into 45 blue bags and the rest into 18 violet bags. There were 12 lollipops altogether in 1 blue and 2 violet bags. How many lollipops did Anna have at first?
| |
Blue bags |
Violet bags |
| Number of bags |
45 |
18 |
| Number of lollipops |
5 u |
1 u |
Let 1 B be 1 blue bag.
Let 1 V be 1 violet bag.
5 u = 45 B
1 u = 9 B --- (1)
1 u = 18 V --- (2)
(1) = (2)
9 B = 18 V
1 B = 18 ÷ 9 = 2 V
1 B + 2 V = 12 --- (3)
Substitute 1 B = 2 V into (3).
2 V + 2 V = 12
4 V = 12
1 V = 12 ÷ 4 = 3
From (2)
1 u = 18 V
1 u = 18 x 3 = 54
Number of lollipops that Anna had at first
= 5 u + 1 u
= 6 u
= 6 x 54
= 324
Answer(s): 324
