write a problem about going to the laundromat that has a hidden question. a single load of laundry costs $2 and a double load costs $4.explain how you solved your problem.
Joseph washed three single loads and two double loads. How much did he pay to do all of this laundry?
She paid 6 dollars
ies
hard
anser is 3x3=9$ 4x2=8$ hidden question is how many he did with is 5 loads
Problem:
Let's say you have a total of 8 loads of laundry to do at the laundromat. You want to minimize the cost by using a combination of single and double loads. The hidden question is: what is the minimum amount you need to pay to get all 8 loads done?
Solution:
To solve this problem, we need to find the optimal combination of single and double loads that minimizes the cost while ensuring that all 8 loads are done.
1. First, we calculate the total cost of doing all loads using only single loads: 8 loads * $2 per load = $16.
2. Next, we calculate the total cost of doing all loads using only double loads: 8 loads * $4 per load = $32.
3. Now, we can start considering combinations of single and double loads to find the most cost-effective solution. We notice that for every double load, we can replace two single loads. So, to find the minimum cost, we want to use as many double loads as possible.
4. If we use one double load, it would replace two single loads. So, the remaining number of loads would be 8 - 2 = 6 loads. The cost of one double load is $4.
5. Now, we have 6 loads remaining. We repeat the process to determine how many double loads we can use. Using one double load would replace two single loads, and the remaining number of loads would be 6 - 2 = 4 loads. The total cost so far is $4.
6. Continuing the process, we see that for the remaining 4 loads, we can use one more double load, which would replace two single loads, leaving us with 4 - 2 = 2 loads. The total cost so far is $8.
7. Finally, we have 2 loads remaining. We can use the last double load, which replaces the two loads. The cost of the last double load is $4.
8. Adding up the costs of all the double loads we used, we have $4 + $4 = $8.
Therefore, the minimum amount you need to pay to get all 8 loads done is $8, which can be achieved by using two double loads at a cost of $4 each.
Explanation:
To solve this problem, we first calculated the cost of doing all the loads using only single loads. Then, we calculated the cost of doing all the loads using only double loads. By comparing these two options, we realized that using double loads could potentially reduce the cost.
Next, we examined how double loads can replace two single loads and iteratively applied this substitution. By identifying how many double loads we can use at each step, we reduced the remaining number of loads until all loads were done.
Finally, we added up the costs of all the double loads we used to find the minimum amount required to complete the 8 loads.