There were some packets and bottles. A packet weighed 2 kg and a bottle weighed 5 kg more. The total weight of the packets was 16 kg heavier than the total weight of the bottles. The number of packets and bottles were in the ratio 9 : 2. What was the total weight of the packets and the bottles?
|
Packets |
Bottles |
Total |
Heavier |
Number |
9 u |
2 u |
|
|
Value |
2 |
7 |
|
|
Total value |
18 u |
14 u |
32 u |
4 u |
Weight of 1 bottle
= 2 + 5
= 7 kg
Total weight of the packets heavier than the total weight of the bottles
= 18 u - 14 u
= 4 u
4 u = 16
1 u = 16 ÷ 4 = 4
Total weight of the packets and bottles
= 18 u + 14 u
= 32 u
= 32 x 4
= 128 kg
Answer(s): 128 kg