Victoria packed some lollipops for a party. She packed
23 of the lollipops into 18 blue bags and the rest into 9 violet bags. There were 12 lollipops altogether in 1 blue and 2 violet bags. How many lollipops did Victoria have at first?
| |
Blue bags |
Violet bags |
| Number of bags |
18 |
9 |
| Number of lollipops |
2 u |
1 u |
Let 1 B be 1 blue bag.
Let 1 V be 1 violet bag.
2 u = 18 B
1 u = 9 B --- (1)
1 u = 9 V --- (2)
(1) = (2)
9 B = 9 V
1 B = 9 ÷ 9 = 1 V
1 B + 2 V = 12 --- (3)
Substitute 1 B = 1 V into (3).
1 V + 2 V = 12
3 V = 12
1 V = 12 ÷ 3 = 4
From (2)
1 u = 9 V
1 u = 9 x 4 = 36
Number of lollipops that Victoria had at first
= 2 u + 1 u
= 3 u
= 3 x 36
= 108
Answer(s): 108
