Can you provide an in-depth solution for: Bill and Jean are both cleaning out their garages. Bill makes a certain number of trips to the dump and Jean makes that many trips plus 6. If they make 40 trips total, how many trips does Jean make?Hey there, could you help me solve this math problem: Bill and Jean are both cleaning out their garages. Bill makes a certain number of trips to the dump and Jean makes that many trips plus 6. If they make 40 trips total, how many trips does Jean make?
Let b be the number of trips Bill makes and j be the number Jean makes. We know that b + j = 40, and j = b + 6.
Substituting the first equation into the second equation, we get b + b + 6 = 40
Combining like terms, we get 2b + 6 = 40
Subtracting 6 from both sides, we get 2b = 34
Dividing both sides by 2, we get b = 17
Substituting that value back into j = b + 6, we get j = 17 + 6 = 23