Risa packed some chocolate bars for a party. She packed
67 of the chocolate bars into 24 blue bags and the rest into 16 violet bags. There were 56 chocolate bars altogether in 1 blue and 3 violet bags. How many chocolate bars did Risa have at first?
| |
Blue bags |
Violet bags |
| Number of bags |
24 |
16 |
| Number of chocolate bars |
6 u |
1 u |
Let 1 B be 1 blue bag.
Let 1 V be 1 violet bag.
6 u = 24 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 + 3 V = 56 --- (3)
Substitute 1 B = 4 V into (3).
4 V + 3 V = 56
7 V = 56
1 V = 56 ÷ 7 = 8
From (2)
1 u = 16 V
1 u = 16 x 8 = 128
Number of chocolate bars that Risa had at first
= 6 u + 1 u
= 7 u
= 7 x 128
= 896
Answer(s): 896
