There were some packets and bottles. A packet weighed 2 kg and a bottle weighed 1 kg more. The total weight of the packets was 30 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 |
2 |
3 |
|
|
Total value |
18 u |
12 u |
30 u |
6 u |
Weight of 1 bottle
= 2 + 1
= 3 kg
Total weight of the packets heavier than the total weight of the bottles
= 18 u - 12 u
= 6 u
6 u = 30
1 u = 30 ÷ 6 = 5
Total weight of the packets and bottles
= 18 u + 12 u
= 30 u
= 30 x 5
= 150 kg
Answer(s): 150 kg