alleryStart learning →Bianca sold 100 tickets in all, each one either an adult or a child ticket. If she sold x child tickets, how many adult tickets did she sell?
Ax - 100
B100 - x
C100 + x
D200 - x
Answer & Solution
Correct answer: B. 100 - x
1. Every ticket is either an adult or a child ticket, so the two counts add up to 100.
2. If x tickets were child tickets, subtract them from the total: 100 - x remain.
3. Those remaining tickets are the adult tickets, so she sold 100 - x adult tickets.
4. Adding to get 100 + x would create more tickets than were sold, which is the trap option.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.3 Solve Mixture Applications_
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