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 42 kg heavier than the total weight of the bottles. The number of packets and bottles were in the ratio 9 : 5. What was the total weight of the packets and the bottles?
|
Packets |
Bottles |
Total |
Heavier |
Number |
9 u |
5 u |
|
|
Value |
4 |
6 |
|
|
Total value |
36 u |
30 u |
66 u |
6 u |
Weight of 1 bottle
= 4 + 2
= 6 kg
Total weight of the packets heavier than the total weight of the bottles
= 36 u - 30 u
= 6 u
6 u = 42
1 u = 42 ÷ 6 = 7
Total weight of the packets and bottles
= 36 u + 30 u
= 66 u
= 66 x 7
= 462 kg
Answer(s): 462 kg