Answer :
To find out which pair of cars the trailer can pull at the same time without exceeding its total capacity of 6,000 pounds, let's go through the process step-by-step:
1. Identify the Car Weights: We have a list of car weights to consider:
- 3,927 lb
- 1,904 lb
- 4,163 lb
- 2,239 lb
- 3,927 lb (repeated)
- 2,838 lb
- 4,163 lb (repeated)
- 2,838 lb (repeated)
2. Consider Pairs of Cars: We'll look at every possible pair of these cars to see if their combined weight can be towed by the trailer.
3. Check Each Pair: For each pair, add the two weights together and verify if their sum is less than or equal to 6,000 pounds. If it is, the trailer can pull those two cars.
Here are the pairs that the trailer can tow without exceeding its capacity:
- Pair: 3,927 lb and 1,904 lb
- Total weight: 3,927 + 1,904 = 5,831 lb (under the limit)
- Pair: 1,904 lb and 2,239 lb
- Total weight: 1,904 + 2,239 = 4,143 lb (under the limit)
- Pair: 1,904 lb and 3,927 lb (considering the repeated weight)
- Total weight: 1,904 + 3,927 = 5,831 lb (under the limit)
- Pair: 1,904 lb and 2,838 lb
- Total weight: 1,904 + 2,838 = 4,742 lb (under the limit)
- Another Pair: 1,904 lb and the other 2,838 lb (considering the repeated weight)
- Total weight: 1,904 + 2,838 = 4,742 lb (under the limit)
- Pair: 2,239 lb and 2,838 lb
- Total weight: 2,239 + 2,838 = 5,077 lb (under the limit)
- Another Pair: 2,239 lb and the other 2,838 lb (considering the repeated weight)
- Total weight: 2,239 + 2,838 = 5,077 lb (under the limit)
- Pair: 2,838 lb and another 2,838 lb (considering both the repeated weights)
- Total weight: 2,838 + 2,838 = 5,676 lb (under the limit)
These combinations show the potential pairs that can be towed together without exceeding the 6,000-pound limit.
1. Identify the Car Weights: We have a list of car weights to consider:
- 3,927 lb
- 1,904 lb
- 4,163 lb
- 2,239 lb
- 3,927 lb (repeated)
- 2,838 lb
- 4,163 lb (repeated)
- 2,838 lb (repeated)
2. Consider Pairs of Cars: We'll look at every possible pair of these cars to see if their combined weight can be towed by the trailer.
3. Check Each Pair: For each pair, add the two weights together and verify if their sum is less than or equal to 6,000 pounds. If it is, the trailer can pull those two cars.
Here are the pairs that the trailer can tow without exceeding its capacity:
- Pair: 3,927 lb and 1,904 lb
- Total weight: 3,927 + 1,904 = 5,831 lb (under the limit)
- Pair: 1,904 lb and 2,239 lb
- Total weight: 1,904 + 2,239 = 4,143 lb (under the limit)
- Pair: 1,904 lb and 3,927 lb (considering the repeated weight)
- Total weight: 1,904 + 3,927 = 5,831 lb (under the limit)
- Pair: 1,904 lb and 2,838 lb
- Total weight: 1,904 + 2,838 = 4,742 lb (under the limit)
- Another Pair: 1,904 lb and the other 2,838 lb (considering the repeated weight)
- Total weight: 1,904 + 2,838 = 4,742 lb (under the limit)
- Pair: 2,239 lb and 2,838 lb
- Total weight: 2,239 + 2,838 = 5,077 lb (under the limit)
- Another Pair: 2,239 lb and the other 2,838 lb (considering the repeated weight)
- Total weight: 2,239 + 2,838 = 5,077 lb (under the limit)
- Pair: 2,838 lb and another 2,838 lb (considering both the repeated weights)
- Total weight: 2,838 + 2,838 = 5,676 lb (under the limit)
These combinations show the potential pairs that can be towed together without exceeding the 6,000-pound limit.
