SOLUTION: several friends from big city high school decide to rent a limo for the prom for $400. at the last minute, 2 more people decided to join the group and this caused the cost per pers
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Question 544032: several friends from big city high school decide to rent a limo for the prom for $400. at the last minute, 2 more people decided to join the group and this caused the cost per person to decrease by $10. in all, how many people made the trip?
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
x is the number of ppl y is how much per person
number of ppl times amount of money per person = 400 bucks
this is the given equation
two more ppl added to x and the amout y decreased by ten per person
this is the given equation
substitution for x
distribution
multiplied everything by y to get rid of y in denominator
added like terms
simplified by taking out the two
found two numbers that multiply to get -2000 and add to get -10.
solve each equation for variable
cant be negative
since we are talking about possitive numbers it has to be y=50
take original equation
insert y with 50
solve for x
.
dont forget 2 people came last minute
solve for x
this confims that you are correct
correct
people in limo at 40 bucks each
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