Winnie packed some lollipops for a party. She packed
23 of the lollipops into 6 blue bags and the rest into 18 violet bags. There were 63 lollipops altogether in 1 blue and 3 violet bags. How many lollipops did Winnie have at first?
| |
Blue bags |
Violet bags |
| Number of bags |
6 |
18 |
| Number of lollipops |
2 u |
1 u |
Let 1 B be 1 blue bag.
Let 1 V be 1 violet bag.
2 u = 6 B
1 u = 3 B --- (1)
1 u = 18 V --- (2)
(1) = (2)
3 B = 18 V
1 B = 18 ÷ 3 = 6 V
1 B + 3 V = 63 --- (3)
Substitute 1 B = 6 V into (3).
6 V + 3 V = 63
9 V = 63
1 V = 63 ÷ 9 = 7
From (2)
1 u = 18 V
1 u = 18 x 7 = 126
Number of lollipops that Winnie had at first
= 2 u + 1 u
= 3 u
= 3 x 126
= 378
Answer(s): 378
