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Ski Resort: Lines, Snow, and Spending worksheet preview

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Ski Resort: Lines, Snow, and Spending

Solve multistep ratio and percent problems using ski lift lines, snowfall records, resort purchases, commissions, and simple interest.

Grade 7MathInteractive · Printable

Aligned to7.RP.A.3

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What’s included

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

Details

Format
Interactive · Printable
Grade
Grade 7
Subject
Math
Question types
Fill in the blank, Multiple choice, Short answer

About this worksheet

What students practice

  • Students solve multistep ratio and percent problems involving lift lines and snowfall records.
  • Students calculate costs involving discounts, markups, taxes, tips, and commissions.
  • Students find simple-interest time periods and explain the bases used in percent comparisons.

How to use

Have students show calculations beside each answer and identify the base of each percent. Discuss the snowfall reasoning item before reviewing the answer key.

Curriculum

Common Core standard covered

7.RP.A.3

Solve multistep ratio and percent problems such as interest, tax, markups, discounts, tips, commissions, and percent error.

Preview

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Ski Resort: Lines, Snow, and Spending

Use ratios and percents to check resort reports and compare costs.

Lift Lines and Passes

Solve each problem. Treat the situations separately, and show your calculations.

1.
A lift line has 96 skiers. The ratio of adults to youth is 7 : 5. Before the lift opens, 25% of the youth leave the line. No adults leave, and nobody joins.

How many skiers remain in the line?   skiers

2.
The resort changes how skiers enter a lift line. What is the percent decrease in the wait time?
Lift Line Timing
Entry systemWait time (min)
Before the change24
After the change18
  • A. The wait time decreased by 75%.
  • B. The wait time decreased by 6%.
  • C. The wait time decreased by 25%.
  • D. The wait time decreased by 33 1/3%.
3.
There are 140 skiers in a lift line. The manager wants the line to contain 30% fewer skiers than this starting count. Before anyone boards, 14 more skiers join. Nobody else joins or leaves except by boarding.

How many skiers must board to reach the manager's target?   skiers

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