<PRE><B>Question 200113</B>
the ticket value was $176.75. A child&#39;s ticket cost $5.50 and an adult ticket
 cost $8.75. if there were three times as many children&#39;s tickets as adult 
tickets, how many adults and children got to attend the show for free?
:
let a = no. of adult tickets
let c = no. of child&#39;s tickets
:
Write an equation for each statement:
;
&quot;the ticket value was $176.75.&quot;
8.75a + 5.50c = 176.75
:
there were three times as many children&#39;s tickets as adult tickets,&quot;
c = 3a
:
Replace c with 3a in the value equation
8.75a + 5.50(3a) = 176.75
8.75a + 16.50a = 176.75
25.25a = 176.75
a = {{{176.75/25.25}}}
a = 7 adults
and
3*7 = 21 children
:
 how many adults and children got to attend the show for free?
;
7 Adults and 21 children
;
:
Check solution in the value equation
8.75(7) + 5.50(21) =
61.25 + 115.50 = 176.75; confirms our solutions</PRE>