Xandra packed some sweets for a party. She packed
23 of the sweets into 4 blue bags and the rest into 30 violet bags. There were 170 sweets altogether in 1 blue and 2 violet bags. How many sweets did Xandra have at first?
| |
Blue bags |
Violet bags |
| Number of bags |
4 |
30 |
| Number of sweets |
2 u |
1 u |
Let 1 B be 1 blue bag.
Let 1 V be 1 violet bag.
2 u = 4 B
1 u = 2 B --- (1)
1 u = 30 V --- (2)
(1) = (2)
2 B = 30 V
1 B = 30 ÷ 2 = 15 V
1 B + 2 V = 170 --- (3)
Substitute 1 B = 15 V into (3).
15 V + 2 V = 170
17 V = 170
1 V = 170 ÷ 17 = 10
From (2)
1 u = 30 V
1 u = 30 x 10 = 300
Number of sweets that Xandra had at first
= 2 u + 1 u
= 3 u
= 3 x 300
= 900
Answer(s): 900
