There were some packets and bottles. A packet weighed 3 kg and a bottle weighed 1 kg more. The total weight of the packets was 209 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 |
3 |
4 |
|
|
| Total value |
27 u |
8 u |
35 u |
19 u |
Weight of 1 bottle
= 3 + 1
= 4 kg
Total weight of the packets heavier than the total weight of the bottles
= 27 u - 8 u
= 19 u
19 u = 209
1 u = 209 ÷ 19 = 11
Total weight of the packets and bottles
= 27 u + 8 u
= 35 u
= 35 x 11
= 385 kg
Answer(s): 385 kg
