SOLUTION: A premium ticket for a football match was one and a half times the price of a standard ticket. If the total cost for 4 standard and 2 premium tickets was €322, write an equation

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Question 1203477: A premium ticket for a football match was one and a half times the price of a standard ticket. If the total cost for 4 standard and 2 premium tickets was €322, write an equation to show this information. Solve the equation to find the cost of a standard ticket
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39629) About Me  (Show Source):
You can put this solution on YOUR website!
x, standard ticket price
(3/2)x, premium ticket price


4x%2B2%2A%283%2F2%29x=322-------solve for x.


highlight%28x=46%29

Answer by greenestamps(13208) About Me  (Show Source):
You can put this solution on YOUR website!


Mentally (which is good brain exercise)....

Since the cost of a premium ticket is 1.5 times the cost of a standard ticket, the cost of 2 premium tickets is 3 times the cost of a standard ticket -- i.e., is the same as the cost of 3 standard tickets.

So the cost of 4 standard tickets and 2 premium tickets is the same as the cost of 4+3 = 7 standard tickets.

Those tickets cost a total of €322, so the cost of each standard ticket is €322/7 = €46

ANSWER: €46