SOLUTION: Pls help I'm trying to help my sister with maths homework and I can't remember how to do this😭. A premium ticket for a football match was one and a half times the price of a sta

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Question 1203762: Pls help I'm trying to help my sister with maths homework and I can't remember how to do this😭. 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. Please helppp
Found 4 solutions by mananth, MathLover1, josgarithmetic, MathTherapy:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

A premium ticket for a football match was one and a half times the price of a standard ticket.
let the price of standard ticket be x
premium ticket for a football match will cost 1.5x
cost for 4 standard tickets = 4x
and 2 premium tickets 2*(1.5x) =3x

Total cost =€322
4x+3x=322 equation
7x = 322
x= 46
cost of a standard ticket = 46 euro


Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

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.
let a premium ticket be p and a standard ticket s
if a premium ticket was one and a half times the price of a standard ticket, we have
p=%281%2B1%2F2%29s
p=%283%2F2%29s......eq.1

If the total cost for 4 standard and 2 premium tickets was €322, we have
4s%2B2p=322......eq.2
substitute p from eq.1
4s%2B2%283%2F2%29s=322
4s%2B3s=322
7s=322
s=322%2F7
highlight%28s=46%29 => the cost of a standard ticket

go to eq.1, substitute s
p=%283%2F2%2946......eq.1
p=%283%2923
p=69 => the cost of a premium ticket



check:
4%2A46%2B2%2A69=322......eq.2
184%2B138=322
322=322

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Notice how the tickets' prices are chosen with whole valued coefficients which could make calculations easier.
TYPE       PRICE         QTY.        COST
Premium    3Q             2          3Q*2
Standard   2Q             4          2Q*4
SUM                                  322

Form the equation as 6Q%2B8Q=322,
which easily becomes
14Q=322

highlight_green%28Q=23%29

From this, Standard Ticket, 2Q=highlight%2846%29
and Premium Ticket, 3Q=highlight%2869%29 euros

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Pls help I'm trying to help my sister with maths homework and I can't remember how to do this😭. 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. Please helppp

As a person seeking help, my advice to you would be to IGNORE, at all costs, what NONSENSE/GIBBERISH
JOSGARITHMETIC is trying to "sell" you. I'm convinced that his main purpose, at this forum, is to confuse
the HELL out of everybody including himself. What he wrote absolutely makes NO SENSE, at all, to me.   

He mentions Q! What the HELL is Q, and what the HELL is 14Q = 322 supposed to be? 

Enough of the TORTURE!! Read on if you're as disgusted as I am.

Let the price of a standard ticket be S
Then price of a premium ticket = 1%261%2F2S, or 1.5S
As 4 standard and 2 premium tickets cost €322, we get: 4S + 2(1.5)S = 322 <=== Requested equation
                                                            4S + 3S = 322
                                                                 7S = 322
                             Cost of a standard ticket, or highlight_green%28matrix%281%2C3%2C+S%2C+%22=%22%2C+322%2F7%29%29 = €46

That's IT! NOTHING more, NOTHING less!!