At the movie theatre child admission is 5.90 and adult admission is 9.30. on monday 142 tickets were sold for a total sale of 1031.60. how many adult tickets were sold that day?

110.9

Step-by-step explanation:

1031.60/9.30Divide 110.9

X=child y=adult
x+y=142 --number of tickets
5.90x+9.30y=1031.60 --total sale

for this one, use the substitution method
since youre finding the # of adult tickets sold, isolate the x-value on the first equation
x=-y+142

plug -y+142 into all x values in the second equation

5.90(-y+142)+9.30y=1031.60
-5.90y+837.80+9.30y=1031.60 --distribute
3.40y+837.80=1031.60 --combine like terms
3.40y=193.80 --subtract across the sign
y=57 --divide across the sign

there were 57 adult tickets sold

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