At the city museum, child admission is $5.10 and adult admission is $9.40. On Monday, 164 tickets were sold for a total sales of $1232.00. How many child tickets were sold that day?
Number of child tickets:

72

Step-by-step explanation:

number of children tickets purchased = c  

number  of adult tickets purchased = a

c+a= 164

(5.10 x c) + (9.40 x a) = 1232

c + a - a = 164 - a

c = 164 -a

(5.10 x (164-a)) + (9.40 x a) = 1232

836.40 - 5.10a + 9.40a = 1232

836.40 + 4.30a = 1232

4.30a = 395.60

4.30a/4.30 = 395.60/4.30

a = 92

c = 164 - 92

c = 72

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