Jane packed some lollipops for a party. She packed
34 of the lollipops into 18 blue bags and the rest into 12 violet bags. There were 48 lollipops altogether in 1 blue and 4 violet bags. How many lollipops did Jane have at first?
| |
Blue bags |
Violet bags |
| Number of bags |
18 |
12 |
| Number of lollipops |
3 u |
1 u |
Let 1 B be 1 blue bag.
Let 1 V be 1 violet bag.
3 u = 18 B
1 u = 6 B --- (1)
1 u = 12 V --- (2)
(1) = (2)
6 B = 12 V
1 B = 12 ÷ 6 = 2 V
1 B + 4 V = 48 --- (3)
Substitute 1 B = 2 V into (3).
2 V + 4 V = 48
6 V = 48
1 V = 48 ÷ 6 = 8
From (2)
1 u = 12 V
1 u = 12 x 8 = 96
Number of lollipops that Jane had at first
= 3 u + 1 u
= 4 u
= 4 x 96
= 384
Answer(s): 384
