At the city museum, child admission is $5.70 and adult admission is $9.50. on Friday, 155 tickets were sold for a total sales of $1255.90. how many child tickets were sold that day?

57 child tickets were sold that day.

Step-by-step explanation:

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

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

on Friday, 155 tickets were sold. It means that

x + y = 155

At the city museum, child admission is $5.70 and adult admission is $9.50. The ticket sales totaled $1255.90 on that day. It means that

5.7x + 9.5y = 1255.9- - - - - - - - - 1

Substituting x = 155 - y into equation 1, it becomes

5.7(155 - y) + 9.5y = 1255.9

883.5 - 5.7y + 9.5y = 1255.9

- 5.7y + 9.5y = 1255.9 - 883.5

3.8y = 372.4

y = 372.4/3.8

y = 98

x = 155 - y = 155 - 98

x = 57

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