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Class Trip Budget: Balance the Costs worksheet preview

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Class Trip Budget: Balance the Costs

Solve systems of linear equations to compare bus quotes, calculate meal and ticket costs, and revise a class trip budget.

Grade 8MathInteractive · Printable

Aligned to8.EE.C.8.c

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 13 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 8
Subject
Math
Question types
Fill in the blank, Multiple choice, Short answer

About this worksheet

What students practice

  • Students model trip budget constraints with two linear equations in two variables.
  • Students solve systems and interpret solutions as prices, counts, or budget adjustments.
  • Students evaluate whether solutions make sense within a trip budget.

How to use

Have students define variables and write two equations before solving. Use the final problem for a short discussion about revising a fixed budget.

Curriculum

Common Core standard covered

8.EE.C.8.c

Solve real-world and math problems that lead to two linear equations in two variables.

Preview

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Name Date

Class Trip Budget: Balance the Costs

Use systems of equations to plan buses, meals, and museum tickets.

Compare the Initial Quotes

Treat each problem as a separate planning option for a class museum trip. Include only the costs stated. Write a system to support your work.

1.
One bus company charges $390 plus $6 per rider. Another charges $150 plus $10 per rider. For how many riders would the two companies charge the same total?
  • A. For 90 riders.
  • B. For 40 riders.
  • C. For 60 riders.
  • D. For 24 riders.
2.
A bus quote consists of a fixed fee plus a charge per rider. Both quotes below use the same fixed fee and per-rider charge.
Bus Quotes
RidersTotal cost ($)
24456
36564

What is the fixed fee? $ . What is the charge per rider? $ 

3.
A trip for 30 students has a total budget of $1,080. The bus costs $420. The remaining money pays for exactly one museum ticket and one meal per student. Each ticket costs $4 more than each meal.

What is the ticket price? $ . What is the meal price? $ 

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