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?

Answer:110.9

Step-by-step explanation:

1031.60/9.30 Divide Answer: 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