Mathematics · System of Linear Equations
A movie theater charges $11 for each full-price ticket and $8.25 for each reduced-price ticket. For one movie showing, the theater sold a total of 214 full-price and reduced-price tickets for $2,145. Which of the following systems of equations could be used to determine the number of full-price tickets, f, and the number of reduced-price tickets, r, sold?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f + r = 2,145 8.25f + 11r = 214
- 2f + r = 214 8.25f + 11r = 2,145
- 3f + r = 214 11f + 8.25r = 2,145✓
- 4f + r = 2,145 11f + 8.25r = 214
Correct answer
f + r = 214 11f + 8.25r = 2,145
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