There were some packets and bottles. A packet weighed 2 kg and a bottle weighed 6 kg more. The total weight of the packets was 10 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 |
8 |
|
|
Total value |
18 u |
16 u |
34 u |
2 u |
Weight of 1 bottle
= 2 + 6
= 8 kg
Total weight of the packets heavier than the total weight of the bottles
= 18 u - 16 u
= 2 u
2 u = 10
1 u = 10 ÷ 2 = 5
Total weight of the packets and bottles
= 18 u + 16 u
= 34 u
= 34 x 5
= 170 kg
Answer(s): 170 kg