Algebra word problem/Splitting the Cost

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The cost of renting a bus to go snowboarding was split evenly by the 20 students planning to go. The day before the trip, 10 more students decided to go. Dividing the cost evenly among all 30 students brought the average cost down by \$9.00 per person. What was the total cost of renting the bus?

• Algebra word problem/Splitting the Cost - ,

30 * 9 = ?

• Algebra word problem/Splitting the Cost - ,

There has to be an initial step because first there was 20 students

• Algebra word problem/Splitting the Cost - ,

Oops! Sorry -- I didn't read the word "by."

• Algebra word problem/Splitting the Cost - ,

So what is the first step in figuring it out????

• Algebra word problem/Splitting the Cost - ,

The first step in solving a word problem is always to organize the information you have, and put it into equations to solve.

Let c be the cost per student originally.

The cost of the bus has not changed, so the cost/student * the number of students has not changed:

20c = 30(c-9)