Jonas, his wife and their 3 children made a trip to the indiana state fair. Jonas spent $16 on entry tickets for adults. If he paid $23.50 for the entry tickets in total, how much did the entry fee for each child cost?

Respuesta :

Answer:the entry fee for each child costs $2.5

Step-by-step explanation:

Jonas, his wife and their 3 children made a trip to the Indiana state fair.

Jonas spent $16 on entry tickets for adults. This means that the total amount of money that Jonas spent on his ticket and that of his wife would be $16

If x represents the cost of the entry fee for each child, it means that the total cost for his 3 children would be 3x.

If he paid $23.50 for the entry tickets in total, it means that

3x + 16 = 23.5

3x = 23.5 - 16 = 7.5

x = 7.5/3 = 2.5

Answer:

Entry ticket for each child costs $2.5

Step-by-step explanation:

Let,

A= Cost of Entry ticket for each adult

B= Cost of Entry ticket for each child

Based on the information in question, we can write,

[tex]2A = 16\\SolvingforA(Dividing both sides by 2),\\A = 8\\\\Wecanalsowrite,\\2A + 3B = 23.5\\SubstitutingthevalueofA, weget,\\2(8) + 3B = 23.5\\16 + 3B = 23.5\\3B = 23.5 - 16\\3B = 7.5\\[/tex]

[tex]B = \frac{7.5}{3}\\B = 2.5[/tex]

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