Final answer:
Jaime and Natali will have the same amount of candy left after 5 days, as shown by solving the equation 50 - 4x = 40 - 2x, where x represents the number of days.
Step-by-step explanation:
Jaime and Natali are in a competition to sell their remaining candy for a fundraiser. Jaime started with 50 candies, selling 4 each day, while Natali started with 40 candies, selling 2 each day. To find out how many days it will take for them to have the same amount of candy left, we can set up an equation where the amount of candy Jaime has left after x days is equal to the amount of candy Natali has left after x days.
For Jaime: 50 - 4x (since Jaime sells 4 candies each day).
For Natali: 40 - 2x (since Natali sells 2 candies each day).
Setting the two expressions equal to each other gives us:
50 - 4x = 40 - 2x
To solve the equation, first add 4x to both sides:
50 = 40 + 2x
Next, subtract 40 from both sides:
10 = 2x
Finally, divide both sides by 2 to solve for x:
x = 5
It will take 5 days for Jaime and Natali to have the same amount of candy left to sell.