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An adult ticket to a corn maze costs $4 more than a child ticket. A senior ticket costs $3 more than a child ticket. Amelia’s family has 3 children and 2 adults. Manuel’s family has 2 children, 1 adult, and 2 seniors. Do the two families pay the same amount for tickets to the maze? If not, who pays more? Use c to represent the cost of a child ticket. Show your work.

An Adult Ticket To A Corn Maze Costs 4 More Than A Child Ticket A Senior Ticket Costs 3 More Than A Child Ticket Amelias Family Has 3 Children And 2 Adults Manu class=

Sagot :

The two families do not pay the same amount. The Manuel's family pay more.

How much does Amelia's family pay?

Let c represent the cost of children's ticket.

Cost of adult ticket = $4 + c

Cost of senior ticket = $3 + c

Total cost = 3(c) + 2(4 + c)

= 3c + 8 + 2c

= 5c + 8

How much does Manuel's family pay?

Total cost = 2(c) + 4 + c + 2(3 + c)

2c + 4 + c + 6c + 2

9c + 8

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