The next day, another group spent a total of $61. Each person in this group paid for general admission, and one person bought a special exhibit ticket. How many people were in this group?

3

Step-by-step explanation:

Here is the full question :

This sign shows admission fees and ticket prices for a museum :

General Admission: $18

Tickets to Special Exhibits $7

Tickets to Movies $6

Note: Tickets to the Special Exhibit and the Movie are in addition to the General Admission fee

The next day, another group spent a total of $61. Each person in this group paid for general admission, and one person bought a special exhibit ticket. How many people were in this group?

If only one person bought a special exhibit ticket, the amount spent on general admission = 61 - 7 = $54

Since everyone would have to pay the general admission ticket, we can determine the number of people in the group

number of people in the group = total amount spent on general admission / price of general admission per person

= $54 / $18 = 3

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.