Question

A family bought a total of 13 tickets to a magic show, some adult and some child. The family paid a total of $85 Adult tickets are $15 each and tickets are $5 each. Let X represent adult tickets. Let y represent child tickets Write an equation to model the total amount of money that they spent.

Answer 1

9514 1404 393

Answer:

  15x +5y = 85 . . . . . equation for money spent

Step-by-step explanation:

The money spent will be the sum of products of numbers of tickets and their cost:

  15x +5y = 85

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The number of tickets bought will be the sum of the numbers of each kind.

  x +y = 13

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The solution of this system of equations is (x, y) = (2, 11).