When a 3 people goes to a hotel, it is $30. Later on, the owner had a promotion of $25, and told them to give $5 to the service worker but he took $2 so they can keep $3. Therefore, each person will have back $1. Each person will have to pay $27. Now after you solve it, a dollar is missing. Where does it go?
To understand where the missing dollar goes in this scenario, let's break down the situation step by step:
1. Initially, the three people paid $30 for the hotel.
2. The owner offered a promotion, reducing the price to $25.
3. The owner asked the three people to give $5 to the service worker.
4. However, the owner took $2 from that $5, leaving $3 for the service worker.
5. So, each person effectively paid $25 (the agreed upon price for the room) + $3 (given to the service worker) = $28.
Now, to understand the confusion, it's important to note that the logic used in this scenario does not necessarily align correctly. Adding the remaining $3, meant for the service worker, to the $27 already paid by each person is an erroneous calculation.
The reason for this miscalculation is that you are trying to add a separate amount ($3, which is designated for the service worker) to the total amount already paid ($27). Instead, to correctly determine the actual amount spent by the three people, you need to subtract the $3 that each person received back.
So, if each person spent $27 and they received $1 back, the total amount they spent would actually be $27 - $1 = $26 per person. To get the total amount spent by all three people, you would multiply this by 3:
$26/person × 3 people = $78.
This amount, $78, represents the total spent by the three individuals in the given scenario. Hence, there is no missing dollar. The confusion arises from adding the $3 meant for the service worker to the total amount spent by the individuals, which is an incorrect calculation.