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 24 kg heavier than the total weight of the packets. The number of bottles and packets were in the ratio 8 : 3. What was the total weight of the bottles and the packets?
|
Bottles |
Packets |
Total |
Heavier |
Number |
8 u |
3 u |
|
|
Value |
3 |
4 |
|
|
Total value |
24 u |
12 u |
36 u |
12 u |
Weight of 1 packet
= 3 + 1
= 4 kg
Total weight of the bottles heavier than the total weight of the packets
= 24 u - 12 u
= 12 u
12 u = 24
1 u = 24 ÷ 12 = 2
Total weight of the bottles and packets
= 24 u + 12 u
= 36 u
= 36 x 2
= 72 kg
Answer(s): 72 kg