## Related questions with answers

In 2009, there were 14,100 students at college A, with a projected enrollment increase of 1500 students per year. In the same year, there were 41,700 students at college B, with a projected enrollment decline of 800 students per year. In which year will the colleges have the same enrollment? What will be the enrollment in each college at that time?

Solution

VerifiedFirst,

Recall:

Strategy for Solving Word Problems(page 103).

Step 1: state in your own words what the problem is looking for. Let $x$ represent an unknown quantity in question. Step 2: if needed, express additional unknown quantities in terms of $x$. Step 3: write an equation that represents the word problem. Step 4: solve the equation for the variable to answer the problem in question. Step 5: check the solution in the original wording of the problem.

Hence, start with step 1: **state in your own words what the problem is looking for. Let $x$ represent an unknown quantity in question.**

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