There were some bottles and packets. A bottle weighed 2 kg and a packet weighed 4 kg more. The total weight of the bottles was 22 kg heavier than the total weight of the packets. The number of bottles and packets were in the ratio 10 : 3. What was the total weight of the bottles and the packets?
|
Bottles |
Packets |
Total |
Heavier |
Number |
10 u |
3 u |
|
|
Value |
2 |
6 |
|
|
Total value |
20 u |
18 u |
38 u |
2 u |
Weight of 1 packet
= 2 + 4
= 6 kg
Total weight of the bottles heavier than the total weight of the packets
= 20 u - 18 u
= 2 u
2 u = 22
1 u = 22 ÷ 2 = 11
Total weight of the bottles and packets
= 20 u + 18 u
= 38 u
= 38 x 11
= 418 kg
Answer(s): 418 kg