There were some packets and bottles. A packet weighed 4 kg and a bottle weighed 2 kg more. The total weight of the packets was 216 kg heavier than the total weight of the bottles. The number of packets and bottles were in the ratio 9 : 2. What was the total weight of the packets and the bottles?
|
Packets |
Bottles |
Total |
Heavier |
Number |
9 u |
2 u |
|
|
Value |
4 |
6 |
|
|
Total value |
36 u |
12 u |
48 u |
24 u |
Weight of 1 bottle
= 4 + 2
= 6 kg
Total weight of the packets heavier than the total weight of the bottles
= 36 u - 12 u
= 24 u
24 u = 216
1 u = 216 ÷ 24 = 9
Total weight of the packets and bottles
= 36 u + 12 u
= 48 u
= 48 x 9
= 432 kg
Answer(s): 432 kg