Question

Adult tickets are $16 and child tickets are $6. The theater sold a total of 137 tickets for a total of $1772. How many adult tickets did the theater sell

Answer 1

95

Explanation:

Let x represent the cost of adult tickets for $16

Let y represent the cost of children tickets for $6

x + y = 137...........equation 1

16x +6y = 1772............equation 2

Multiply equation 1 by 16 and equation 2 by 1

16x + 16y= 2192

-

16x + 6y = 1772

10y = 420

y= 420/10

y= 42

Substitute 42 for y in equation 1

x + y = 137

x + 42= 137

x = 137-42

x= 95

Hence 95 adult tickets were sold for $16 and 42 children tickets were sold for $6