There were some bottles and packets. A bottle weighed 3 kg and a packet weighed 1 kg more. The total weight of the bottles was 76 kg heavier than the total weight of the packets. The number of bottles and packets were in the ratio 9 : 2. What was the total weight of the bottles and the packets?
|
Bottles |
Packets |
Total |
Heavier |
Number |
9 u |
2 u |
|
|
Value |
3 |
4 |
|
|
Total value |
27 u |
8 u |
35 u |
19 u |
Weight of 1 packet
= 3 + 1
= 4 kg
Total weight of the bottles heavier than the total weight of the packets
= 27 u - 8 u
= 19 u
19 u = 76
1 u = 76 ÷ 19 = 4
Total weight of the bottles and packets
= 27 u + 8 u
= 35 u
= 35 x 4
= 140 kg
Answer(s): 140 kg