There were some packets and bottles. A packet weighed 3 kg and a bottle weighed 6 kg more. The total weight of the packets was 33 kg heavier than the total weight of the bottles. The number of packets and bottles were in the ratio 7 : 2. What was the total weight of the packets and the bottles?
|
Packets |
Bottles |
Total |
Heavier |
Number |
7 u |
2 u |
|
|
Value |
3 |
9 |
|
|
Total value |
21 u |
18 u |
39 u |
3 u |
Weight of 1 bottle
= 3 + 6
= 9 kg
Total weight of the packets heavier than the total weight of the bottles
= 21 u - 18 u
= 3 u
3 u = 33
1 u = 33 ÷ 3 = 11
Total weight of the packets and bottles
= 21 u + 18 u
= 39 u
= 39 x 11
= 429 kg
Answer(s): 429 kg