Question 1179258


let the price of adult tickets be {{{x}}} and the price of children's tickets {{{y}}}

if on the first day, Cindy sells {{{6}}} adult tickets and {{{5}}} children's tickets for a total of {{{112.50}}}, we have

{{{6x+5y=112.50}}}.....solve for {{{x}}}

{{{6x=112.50-5y}}}

{{{x=112.50/6-5y/6}}}

 {{{x=18.75-5y/6}}}...........eq.1

if on the second day, she sells {{{8}}} adult tickets and {{{4}}} children's tickets for a total of {{{130.00}}}, we have

{{{8x+4y=130.00}}}.....solve for {{{x}}}

{{{8x=130.00-4y}}}

{{{x=130.00/8-4y/8}}}
{{{x=16.25-0.5y}}}...........eq.2

from eq.1 and eq.2 we have

{{{18.75-5y/6=16.25-0.5y}}}

{{{18.75-16.25=5y/6-0.5y}}}

{{{2.5=2y/6}}}

{{{2.5*6=2y}}}

{{{(2.5*6)/2=y}}}

{{{2.5*3=y}}}

{{{7.5=y}}}

go to

{{{x=16.25-0.5y}}}...........eq.2, substitute {{{y}}}

{{{x=16.25-0.5*7.5}}}

{{{x=12.5}}}


the price of adult tickets is {{{12.5}}} and the price of children's tickets {{{7.5}}}