There were some bottles and packets. A bottle weighed 3 kg and a packet weighed 1 kg more. The total weight of the bottles was 16 kg heavier than the total weight of the packets. The number of bottles and packets were in the ratio 8 : 5. What was the total weight of the bottles and the packets?
|
Bottles |
Packets |
Total |
Heavier |
Number |
8 u |
5 u |
|
|
Value |
3 |
4 |
|
|
Total value |
24 u |
20 u |
44 u |
4 u |
Weight of 1 packet
= 3 + 1
= 4 kg
Total weight of the bottles heavier than the total weight of the packets
= 24 u - 20 u
= 4 u
4 u = 16
1 u = 16 ÷ 4 = 4
Total weight of the bottles and packets
= 24 u + 20 u
= 44 u
= 44 x 4
= 176 kg
Answer(s): 176 kg