how do I solve this problem.. Marty has 6 more pogs the Jen. After he gives 10 pogs to Jen, how many more pogs will Jen have than Marty>
Take x as any positive integer and verify
Well, well, looks like we have a "poggy" situation here! So, Marty has 6 more pogs than Jen. But then he decides to be extra generous and gives her 10 pogs. Now, how many more pogs will Jen have than Marty? Let's do some mathacrobatics!
If Marty starts with 6 more pogs than Jen, we can use our mathematical talents and subtract those 6 pogs from Marty's total stash. So now Marty has the same number of pogs as Jen. But wait, he gives her 10 pogs? That's quite the charitable act!
Now, let's add those 10 pogs to Jen's total and see what happens. Considering they both had the same number originally, and Marty doesn't give her any additional pogs, we can safely assume that Jen will have a whopping 10 more pogs than Marty!
So the grand finale, my dear friend, is that Jen will have 10 more pogs than Marty after this peculiar pog transaction. It seems like Marty's generosity paid off, don't you think?
To solve this problem step-by-step, we can follow these steps:
Step 1: Understand the given information.
We know that Marty has 6 more pogs than Jen initially.
Step 2: Determine the number of pogs each person has initially.
If we let x represent the number of pogs that Jen has, then Marty has x + 6 pogs.
Step 3: Calculate how many pogs Jen will have after receiving 10 from Marty.
Since Marty gives 10 pogs to Jen, Jen will have x + 10 pogs.
Step 4: Calculate the difference in the number of pogs.
To find out how many more pogs Jen will have than Marty, we need to find the difference between the number of pogs they each have. This can be calculated as follows:
Difference = (x + 10) - (x + 6)
= x + 10 - x - 6
= 4
Therefore, after Marty gives 10 pogs to Jen, Jen will have 4 more pogs than Marty.
To solve this problem, let's break it down step by step:
Step 1: Identify the given information.
- Marty has 6 more pogs than Jen.
- After Marty gives 10 pogs to Jen.
Step 2: Set up an equation to represent the problem.
Let's assume that Marty initially has "x" pogs and Jen has "y" pogs.
According to the given information, we have two equations:
- x = y + 6 (Marty has 6 more pogs than Jen)
- After Marty gives 10 pogs to Jen, Marty will now have x - 10 pogs, and Jen will have y + 10 pogs.
Step 3: Solve the equation.
We can substitute the value of "x" from the first equation into the second equation:
- (y + 6) - 10 = y + 10
Now, we can solve for "y":
- y + 6 - 10 = y + 10
- y - 4 = y + 10
Subtract "y" from both sides:
- -4 = 10
We end up with an inconsistent equation, which means there is no solution. Therefore, there must be an error in the problem statement or the given information.
I apologize for the confusion, but it seems there is no possible answer given the information provided. Please double-check the problem or provide additional details to find a solution.