A daytime movie ticket costs $7.75, which is $3.25 less than the night price. What does the movie cost at night?
A$4.50
B$10.00
C$11.00
D$11.50
Answer & Solution
Correct answer: C. $11.00
1. Let n be the night price. The day price is $3.25 less than n.
2. Translate into an equation: 7.75 = n - 3.25.
3. Add 3.25 to both sides: n = 7.75 + 3.25.
4. Combine: n = 11.00, so the night price is $11.00.
5. $4.50 is the trap of subtracting $3.25 from the day price, which would make the night show cheaper than the matinee.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality_
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