You are running the concession stand at a volleyball game, selling hot dogs and cans of pop. Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night you have made exactly $78.50. You know that you have sold exactly 87 items, but cannot remember how many of each. That mean PTA lady will never let you work the concession stand again if you don’t report the correct number of each item sold! How many of each did you sell?

Hot Dogs: 35

Soda: 52

Step-by-step explanation:

35 hot dogs + 52 sodas is 87 items.

35 x $1.50 = $52.50

52 x $0.50 = $26.00

$52.50 + $26.00 = $78.50

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.