the circus admits children for $2 each and adults for $5 each. how many of each ticket were sold if 160 tickets were sold for $476

Children = 108

Adult = 52

Step-by-step explanation:

Let x = number of children

Let y = number of adult

Based on the information given, we can form an equation which will be:

x + y = 160 i

2x + 5y = 476 ii

Multiply equation i by 2

Multiply equation ii by 1

2x + 2y = 320 iii

2x + 5y = 476 iv

Subtract iii from iv

3y = 156

y = 52

Number of adults = 52

Since x + y = 160

x + 52 =160

x = 160 - 52

x = 108

Number of children = 108

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18