SOLUTION: 1. TIckets for the senior play cost $4 for adults and $2 for students. This year there were 600 tickets sold and the class took in $1900 from ticket sales. How many of each type of

Question 526816: 1. TIckets for the senior play cost $4 for adults and $2 for students. This year there were 600 tickets sold and the class took in $1900 from ticket sales. How many of each type of ticket were sold.
2 The sume of two numbers is 100. Five times the smaller is eight more than the larger. Find the numbers.
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
1. TIckets for the senior play cost $4 for adults and $2 for students. This year there were 600 tickets sold and the class took in $1900 from ticket sales. How many of each type of ticket were sold.

Total tickets sold = 600
Adults Tickets sold = x
Students Tickets sold = 600-x
Cost of a Adults ticket = $4
Cost of students ticket = $2
Total sell = $1900
(Adults Tickets sold)*(Cost of a Adults ticket)+(Students Tickets sold)*(Cost of students ticket) = Total sell
x*4+(600-x)*2=1900
4x+1200-2x=1900
4x-2x=1900-1200
2x=700
x=700/2
x=350

Adults Tickets sold = x = 350
Students Tickets sold = 600-x = 600-350 = 250

Check
=====
350*4+250*2=1900
1400+500=1900
1900=1900

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2 The sume of two numbers is 100. Five times the smaller is eight more than the larger. Find the numbers.
Let
Smaller Number = x
Larger Number = y

Sum of two numbers is 100
x+y=100
x=100-y........(1)

Five times the smaller is eight more than the larger
5x=y+8..........(2)

Put the value of x from (1) to (2)
5(100-y)=y+8
500-5y=y+8
500-8=y+5y
492=6y
492/6=6y/6
82=y
y=82
Put the value of y in (1)
x=100-82
x=18

Smaller Number = x = 18
Larger Number = y = 82

Check
======
x+y=100
18+82=100
100=100
------------------
5x=y+8
5(18)=82+8
90=90

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