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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

Respuesta :

Answer: 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