Question

Find the Error. A student wrote the equation 22+4=6s+12s to represent the problem shown. Find his mistake and correct it.

Darnell and Emma are college students. Darnell currently has 22 credits and he plans on taking 6 credits per semester. Emma has 4 credits and plans to take 12 credits per semester. After how many semesters, s, will Darnell and Emma have the same number of credits?

Answer 1

To find the number of semesters in which Darnell and Emma will have the same number of credits, the equation 22 + 4 = 6s + 12s is incorrect. The correct equation is 22 + 6s = 4 + 12s. By solving this equation, we find that Darnell and Emma will have the same number of credits after 3 semesters.

Step-by-step explanation:

The student made a mistake when writing the equation 22+4=6s+12s to represent the problem. To find the number of semesters, s, in which Darnell and Emma will have the same number of credits, we need to set up an equation.

Let's first determine the number of credits Darnell and Emma will have after s semesters. Darnell will have 22 + 6s credits and Emma will have 4 + 12s credits. Now, we can set up the equation:

22 + 6s = 4 + 12s

To solve for s, we can subtract 6s from both sides:

22 = 4 + 6s

Next, subtract 4 from both sides:

18 = 6s

Finally, divide both sides by 6:

s = 3

Therefore, Darnell and Emma will have the same number of credits after 3 semesters.