There were some bottles and packets. A bottle weighed 2 kg and a packet weighed 5 kg more. The total weight of the bottles was 32 kg heavier than the total weight of the packets. The number of bottles and packets were in the ratio 9 : 2. What was the total weight of the bottles and the packets?
|
Bottles |
Packets |
Total |
Heavier |
Number |
9 u |
2 u |
|
|
Value |
2 |
7 |
|
|
Total value |
18 u |
14 u |
32 u |
4 u |
Weight of 1 packet
= 2 + 5
= 7 kg
Total weight of the bottles heavier than the total weight of the packets
= 18 u - 14 u
= 4 u
4 u = 32
1 u = 32 ÷ 4 = 8
Total weight of the bottles and packets
= 18 u + 14 u
= 32 u
= 32 x 8
= 256 kg
Answer(s): 256 kg