Xuan packed some lollipops for a party. She packed
34 of the lollipops into 24 blue bags and the rest into 24 violet bags. There were 50 lollipops altogether in 1 blue and 2 violet bags. How many lollipops did Xuan have at first?
| |
Blue bags |
Violet bags |
| Number of bags |
24 |
24 |
| Number of lollipops |
3 u |
1 u |
Let 1 B be 1 blue bag.
Let 1 V be 1 violet bag.
3 u = 24 B
1 u = 8 B --- (1)
1 u = 24 V --- (2)
(1) = (2)
8 B = 24 V
1 B = 24 ÷ 8 = 3 V
1 B + 2 V = 50 --- (3)
Substitute 1 B = 3 V into (3).
3 V + 2 V = 50
5 V = 50
1 V = 50 ÷ 5 = 10
From (2)
1 u = 24 V
1 u = 24 x 10 = 240
Number of lollipops that Xuan had at first
= 3 u + 1 u
= 4 u
= 4 x 240
= 960
Answer(s): 960
