SOLUTION: Tickets to the school play are $7.00 for adults and $5.50 for students. If the total value of all the tickets sold is $3825 and 100 more students bought tickets than adults, how ma
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Question 178044: Tickets to the school play are $7.00 for adults and $5.50 for students. If the total value of all the tickets sold is $3825 and 100 more students bought tickets than adults, how many adults and students bought tickets? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Tickets to the school play are $7.00 for adults and $5.50 for students. If the
total value of all the tickets sold is $3825 and 100 more students bought
tickets than adults, how many adults and students bought tickets?
:
let a = no. of adults
let s = no. of students
:
the total$ equation
7a + 5.5s = 3825
:
it says," 100 more students bought tickets than adults," equation for this:
s = a + 100
:
Substitute (a+100) for s in the total$ equation:
7a + 5.5(a+100) = 3825
:
7a + 5.5a + 550 = 3825
:
12.5a = 3825 - 550
a =
a = 262 adults
:
I'll let you find the number of students, Check solutions in total$ equation
