Algebra: Create Systems of Equations from Word Problems

For each word problem, set up and solve a system of equations and provide the specific answer requested by the question.

1. A family is going on vacation. They will spend 7 nights in Europe, some nights in Paris and some nights in Rome. Their total hotel costs are \$887.  If their hotel in Paris costs \$85 per night and their hotel in Rome costs \$158 per night, how many nights are they staying in each location?
2. A group of 87 whale watchers spends \$3,584 on tickets for the trip.  If adult tickets are \$42 each and senior citizen tickets are \$32 each, how many senior citizens went on the trip?
3. You are planting a garden, but you only want peppers and tomatoes (your favorite vegetables). Pepper plants cost 45 cents each.  Tomato plants cost 30 cents each.  If you buy 20 plants and spend \$7.80, how many of each plant did you buy?
4. A student is selling magazines for a school fundraiser and raises \$540.  She sold 42 subscriptions. The annual subscriptions went for \$14 each and the quarterly subscriptions went for \$8 each.  How many quarterly subscriptions did she sell?
5. In a math teacher's grading system, a student earns 10 points for every homework assignment and 40 points for every project. If a student turned in 30 total assignments (homework and projects) and earned 720 points, how many projects did that student do?