SOLUTION: There are 100 seats in a cinema.some are luxury seats costing €2 the rest are ordinary seats costing €1 each. When the cinema is full the takings come to a total of €170 . How many

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Question 971913: There are 100 seats in a cinema.some are luxury seats costing €2 the rest are ordinary seats costing €1 each. When the cinema is full the takings come to a total of €170 . How many seats are luxury

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number of luxury seats be x.
Then the number of ordinary seats, using
ONE PART = TOTAL MINUS OTHER PART,
is 100-x.
                      taking     takings
Type       Number      from      from
 of          of        EACH       ALL
seat        seats      seat      seats
-------------------------------------------
luxury       x          €2       €2x
ordinary  100-x         €1       €1(100-x)
-------------------------------------------
TOTALS      100      -----       €1700

 The equation comes from the column on the right

  %28matrix%285%2C1%2CTakings%2Cfrom%2CALL%2Cluxury%2Cseats%29%29%22%22%2B%22%22%28matrix%285%2C1%2CTakings%2Cfrom%2CALL%2Cordinary%2C+seats%29%29%22%22=%22%22%28matrix%285%2C1%2CTotal%2Ctakings%2Cfrom%2CALL%2Cseats%29%29

   €2x + 1€(100-x) = €170
     
      2x + 100 - x = 170

           x + 100 = 170

                 x = 70 = the number of luxury seat.

The number of ordinary seats is 100-x or 100-70 or 30 ordinary seats.

Checking:  70 luxury seats took in €1400 and 30 ordinary seats took in €300
            That's 100 seats.
            And indeed €1400 + €300 = €1700
Edwin