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 33 kg heavier than the total weight of the bottles. The number of packets and bottles were in the ratio 10 : 3. What was the total weight of the packets and the bottles?
|
Packets |
Bottles |
Total |
Heavier |
Number |
10 u |
3 u |
|
|
Value |
2 |
3 |
|
|
Total value |
20 u |
9 u |
29 u |
11 u |
Weight of 1 bottle
= 2 + 1
= 3 kg
Total weight of the packets heavier than the total weight of the bottles
= 20 u - 9 u
= 11 u
11 u = 33
1 u = 33 ÷ 11 = 3
Total weight of the packets and bottles
= 20 u + 9 u
= 29 u
= 29 x 3
= 87 kg
Answer(s): 87 kg