Question

2. A movie theater charges $15 for adults and children and $10 for seniors. A

total of $1,270 was collected for movie ticket sales one night for a selected
movie. The total number of tickets sold for that movie was 93. How many
adult and senior tickets were sold?

b. Write the equations:

Answer 1

A. Adult=68, seniors=25B. 10a + 10s=1270. a + s=93

Explanation:

15a + 10s =1270 equation 1

a + s =93 equation 2

a=93-s. Isolate a for equation 2

15(93-s) + 10s =1270 substitute value of a in equation 2 (93-s) with value of a in equation 1

1395-15s+10s=1270

-5s=-125

S=25

solve for a

a + s =93

a + 25=93

a=68

‘check answer

15a + 10s=1270

15(68) + 10(25)=1270

1020+ 250=1270