Jean packed some lollipops for a party. She packed
34 of the lollipops into 15 blue bags and the rest into 15 violet bags. There were 15 lollipops altogether in 1 blue and 2 violet bags. How many lollipops did Jean have at first?
| |
Blue bags |
Violet bags |
| Number of bags |
15 |
15 |
| Number of lollipops |
3 u |
1 u |
Let 1 B be 1 blue bag.
Let 1 V be 1 violet bag.
3 u = 15 B
1 u = 5 B --- (1)
1 u = 15 V --- (2)
(1) = (2)
5 B = 15 V
1 B = 15 ÷ 5 = 3 V
1 B + 2 V = 15 --- (3)
Substitute 1 B = 3 V into (3).
3 V + 2 V = 15
5 V = 15
1 V = 15 ÷ 5 = 3
From (2)
1 u = 15 V
1 u = 15 x 3 = 45
Number of lollipops that Jean had at first
= 3 u + 1 u
= 4 u
= 4 x 45
= 180
Answer(s): 180
