SOLUTION: For a charter bus, students must pay $30 each if 28 students go on the trip. If only 21 students sign up for the trip, how much would each have to pay if the total cost is the same

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Question 1197959: For a charter bus, students must pay $30 each if 28 students go on the trip. If only 21 students sign up for the trip, how much would each have to pay if the total cost is the same?
Found 4 solutions by math_tutor2020, josgarithmetic, greenestamps, MathTherapy:
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

If 28 students pay $30 each, then that's 28*30 = 840 dollars total.

Now consider only 21 students attend. If the total cost stays at $840, then each student now has to pay 840/21 = 40 dollars.

The cost per person has increased by $10 since 40-30 = 10.

Answer: $40 per person

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
                      PRICE              QUANTY          COST

EXPECTED                  30                  28           30*28

CONDITION Change          (30*28)/21          21           30*28

Notice in the expression for what is asked for,
%2830%2A28%29%2F21
30%2828%2F21%29
30%2A%284%2F3%29-------and you might be able to see this simpler fraction as a shortcut, possibly
letting you skip some written steps.

30%284%2F3%29=10%2A4=highlight%2840%29

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Here is a solution method that requires only a single calculation.

The number of students changes by a factor of 21/28 = 3/4; since the total cost remains the same, the cost per student changes by a factor of 4/3.

ANSWER: (4/3)($30) = $40

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

For a charter bus, students must pay $30 each if 28 students go on the trip. If only 21 students sign up for the trip, how much would each have to pay if the total cost is the same?
Total cost: 28($30)
Cost for each of 21 students: 
That's ALL!!