Problema Solution
Carter and Barbara are ticket-sellers at their class play, Carter handling student tickets that sell for $7.90 each and Barbara selling adult tickets for $15.60 each. If their total income for 173 tickets was $2336.90, how many did Barbara sell?
Answer provided by our tutors
Adult tickets = x
Student tickets = y
x + y = 173...1
1560x + 790y = 233690...2
Multiply (1) by 790
790x + 790y = 136670...3
1560x + 790y = 233690..2
Subtract (3) from (2)
770x = 97020
x = 126
Substitute x = 126 into (1)
x + y = 173
126 + y = 173
y = 173 - 126
y = 47
So, 126 Adult tickets sold
and 47 student tickets sold.
Barbara sold 126 tickets