Gwen packed some lollipops for a party. She packed
56 of the lollipops into 20 blue bags and the rest into 16 violet bags. There were 24 lollipops altogether in 1 blue and 4 violet bags. How many lollipops did Gwen have at first?
| |
Blue bags |
Violet bags |
| Number of bags |
20 |
16 |
| Number of lollipops |
5 u |
1 u |
Let 1 B be 1 blue bag.
Let 1 V be 1 violet bag.
5 u = 20 B
1 u = 4 B --- (1)
1 u = 16 V --- (2)
(1) = (2)
4 B = 16 V
1 B = 16 ÷ 4 = 4 V
1 B + 4 V = 24 --- (3)
Substitute 1 B = 4 V into (3).
4 V + 4 V = 24
8 V = 24
1 V = 24 ÷ 8 = 3
From (2)
1 u = 16 V
1 u = 16 x 3 = 48
Number of lollipops that Gwen had at first
= 5 u + 1 u
= 6 u
= 6 x 48
= 288
Answer(s): 288
