There were some bottles and packets. A bottle weighed 3 kg and a packet weighed 2 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 7 : 3. What was the total weight of the bottles and the packets?
|
Bottles |
Packets |
Total |
Heavier |
Number |
7 u |
3 u |
|
|
Value |
3 |
5 |
|
|
Total value |
21 u |
15 u |
36 u |
6 u |
Weight of 1 packet
= 3 + 2
= 5 kg
Total weight of the bottles heavier than the total weight of the packets
= 21 u - 15 u
= 6 u
6 u = 24
1 u = 24 ÷ 6 = 4
Total weight of the bottles and packets
= 21 u + 15 u
= 36 u
= 36 x 4
= 144 kg
Answer(s): 144 kg