Final answer:
To find out how long it will take for Megan and Connor to have the same amount of money, set up an equation and solve for x. It will take 14 weeks for Megan and Connor to have the same amount of money.
Step-by-step explanation:
To find out how long it will take for Megan and Connor to have the same amount of money, we need to set up an equation:
Let x be the number of weeks it will take.
For Megan, the equation is: 50 + 5.50x.
For Connor, the equation is: 18.50 + 7.75x.
We can set these two equations equal to each other:
50 + 5.50x = 18.50 + 7.75x
Subtracting 5.50x and 18.50 from both sides, we get:
50 - 18.50 = 7.75x - 5.50x
31.50 = 2.25x
Dividing both sides by 2.25, we get:
x = 14
Therefore, it will take 14 weeks for Megan and Connor to have the same amount of money.