At the city museum, child admission is $5.30 and adult admission is $9.40 . On Tuesday, 140 tickets were sold for a total sales of $1086.40 . How many child tickets were sold that day?
Total tickets sold = # of kid's tickets sold + # of adult tickets sold Total money made = amount of money kid's tickets raised + amount the adult tickets made
These can be rephrased as 140 = k + a and $1086.40 = $5.30k + $9.40a
Rephrase the first; 140 = k + a a = 140 - k
Plug the equation into the first; 1086.4 = 5.3k + 9.4a 1086.4 = 5.3k + 9.4(140 - k) 1086.4 = 5.3k + 1316 - 9.4k -229.6 = -4.1k k = 56 tickets
