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Amusement park ticket sales problem with equations and solution.

Word problem about an amusement park selling children's and adult tickets, with equations and solution provided.

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Show Answer Key & Explanations Step-by-step solution for: PDF] Learning to Automatically Solve Algebra Word Problems ...

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- Let x be the number of children and y be the number of adults.
- The total number of people is 278, so x + y = 278.
- The total revenue is $792, with children’s tickets at $1.50 and adult tickets at $4, so 1.5x + 4y = 792.
- Multiply the first equation by 1.5 to get 1.5x + 1.5y = 417.
- Subtract this from the second equation: (1.5x + 4y) - (1.5x + 1.5y) = 792 - 417 → 2.5y = 375 → y = 150.
- Substitute y = 150 into x + y = 278 → x + 150 = 278 → x = 128.
- Therefore, 128 children and 150 adults were admitted.

Parent Tip: Review the logic above to help your child master the concept of solving algebra word problems worksheet.

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