There were some packets and bottles. A packet weighed 4 kg and a bottle weighed 1 kg more. The total weight of the packets was 162 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 |
4 |
5 |
|
|
Total value |
28 u |
10 u |
38 u |
18 u |
Weight of 1 bottle
= 4 + 1
= 5 kg
Total weight of the packets heavier than the total weight of the bottles
= 28 u - 10 u
= 18 u
18 u = 162
1 u = 162 ÷ 18 = 9
Total weight of the packets and bottles
= 28 u + 10 u
= 38 u
= 38 x 9
= 342 kg
Answer(s): 342 kg