Home › ASVAB › Mathematics › Solving Linear Equations and Inequalities › A daytime movie ticket costs $7.75, which is $3.…
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_
Related questions
Solve for x: 7 = (1/2)x + (3/4)x - (2/3)x.Classify the equation 12c + 5(5 + 3c) = 3(9c - 4) and state its solution.Solve for x: 2.8x + 12 = -1.4x - 9.Solve for q: 8q - 5 = -4q + 7.Solve for x: 3x + 4 = -8.A gardener planted 14 flats of flowers, filling 2/3 of a garden. How many flats would fillThe annual property tax on a house is $1,800, calculated as 15/1000 of the assessed value.Solve for r: 0.04r = 52.60.