775 tickets were sold for a game for a total of 1,187.50. If adults tickets sold for 2.50 and children’s tickets sold for 1.00 how many of each kind of ticket were sold

275 adult tickets and 500 children's tickets were sold.

Step-by-step explanation:

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

Let c represent the number of children's tickets that were sold.

The total number of tickets that were sold is 775. It means that

a + c = 775

If adults tickets sold for 2.50 and children’s tickets sold for 1.00 and the total amount was $1187.5, it means that

2.5a + c = 1187.5- - - - - - - - - - -1

substituting a = 775 - c into equation 1, it becomes

2.5(775 - c) + c = 1187.5

1937.5 - 2.5c + c = 1187.5

- 2.5c + c = 1187.5 - 1937.5

- 1.5c = - 750

c = - 750/ - 1.5

c = 500

Substituting c = 500 into a = 775 - c, it becomes

a = 775 - 500

a = 275

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step-by-step explanation:

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