There were some packets and bottles. A packet weighed 4 kg and a bottle weighed 3 kg more. The total weight of the packets was 22 kg heavier than the total weight of the bottles. The number of packets and bottles were in the ratio 8 : 3. What was the total weight of the packets and the bottles?
|
Packets |
Bottles |
Total |
Heavier |
Number |
8 u |
3 u |
|
|
Value |
4 |
7 |
|
|
Total value |
32 u |
21 u |
53 u |
11 u |
Weight of 1 bottle
= 4 + 3
= 7 kg
Total weight of the packets heavier than the total weight of the bottles
= 32 u - 21 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Total weight of the packets and bottles
= 32 u + 21 u
= 53 u
= 53 x 2
= 106 kg
Answer(s): 106 kg