The ball game sold $1,340 in tickets one Saturday. The number of $12 adult tickets was 15 more than twice the number of $5 child tickets. How many of each were sold?

95 adult tickets and 40 child tickets were sold.

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of child tickets that were sold.

The cost of an adult ticket is $12 and the cost of a child ticket is $5.

The ball game sold $1,340 in tickets one Saturday. It means that

12x + 5y = 1340- - - - - - - - - - 1

The number of $12 adult tickets was 15 more than twice the number of $5 child tickets. It means that

x = 2y + 15

Substituting x = 2y + 15 into equation 1, it becomes

12(2y + 15) + 5y = 1340

24y + 180 + 5y = 1340

24y + 5y = 1340 - 180

29y = 1160

y = 1160/29

y = 40

x = 2y + 15 = 2 × 40 + 15

x = 95

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step-by-step explanation: