Question

edmond and chase are both enrolled in an online foreign - language program. edmond has already completed 114 lessons, and he will be completing 3 more lessons each day. chase has already completed 122 lessons, and he will be completing 2 more lessons each day. how long will it take for edmond and chase to have completed the same number of lessons?
□ days
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Explanation:

Step1: Define variable for days

Let $x$ = number of days until they have equal completed lessons.

Step2: Set up equation for each person

Edmond's total lessons: $114 + 3x$
Chase's total lessons: $122 + 2x$

Step3: Equate the two expressions

$$114 + 3x = 122 + 2x$$

Step4: Solve for $x$

Subtract $2x$ from both sides: $114 + x = 122$
Subtract 114 from both sides: $x = 122 - 114$
$x = 8$

Answer:

8 days