There were some packets and bottles. A packet weighed 3 kg and a bottle weighed 2 kg more. The total weight of the packets was 49 kg heavier than the total weight of the bottles. The number of packets and bottles were in the ratio 9 : 4. What was the total weight of the packets and the bottles?
|
Packets |
Bottles |
Total |
Heavier |
Number |
9 u |
4 u |
|
|
Value |
3 |
5 |
|
|
Total value |
27 u |
20 u |
47 u |
7 u |
Weight of 1 bottle
= 3 + 2
= 5 kg
Total weight of the packets heavier than the total weight of the bottles
= 27 u - 20 u
= 7 u
7 u = 49
1 u = 49 ÷ 7 = 7
Total weight of the packets and bottles
= 27 u + 20 u
= 47 u
= 47 x 7
= 329 kg
Answer(s): 329 kg