Questions and Answers
How many fancy and plain shirts did Kristin buy?
(2, 5)
How many pigs and chickens are there?
(7, 6)
How many ducks and pigs are there?
(8, 2)
Find how much each ticket costs for the concert.
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Find out when the two cellular companies are equal in cost.
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How much does each ticket cost at the movie theater?
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How many of each type of pants did Shawna buy?
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How many of each writing utensil did Mike buy?
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How many cars and vans did the class use?
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How many math and English books did Willie buy?
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What is the price for a student ticket and an adult ticket?
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When are the two companies equal in flooring cost?
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How long will it take for the two trees to be the same height?
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How much does each ice sculpture cost?
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How much does the salon charge for each manicure and pedicure?
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Study Notes
Systems of Equations - Word Problems
- Kristin bought a total of 7 shirts for $131; fancy shirts are $28 and plain shirts are $15.
- In a barn, there are 13 animals (chickens and pigs) with a total of 40 legs.
- A farmhouse has 10 animals (pigs and ducks) and 36 legs altogether.
- Stefan's school ticket sales involved senior citizen and child tickets. Day one totals: 3 senior tickets, 1 child ticket for $38; day two totals: 3 senior tickets, 2 child tickets for $52.
- Two cellular companies: Company A charges $50/month + $100 fee; Company B charges $70/month + $75 fee. Need to find when costs are equal.
- Movie theater adult tickets cost $3 more than child tickets. Total spent by 2 adults and 3 children is $31.
- Shawna purchased 4 pants costing $260 total, with dress pants at $90 and jeans at $40 each.
- Mike acquired 8 writing utensils, 4 each for pens ($4) and pencils ($3), totaling $30.
- A field trip involved using cars (5 student capacity) and vans (7 student capacity) for 36 students with a total of 6 vehicles.
- Willie spent $216 on books, with math books at $30 and English books at $24. He bought a total of 8 books.
- At the Children's Theater, Ms. Moreland paid $138 for herself and 3 students, with student tickets costing $10 less than adult tickets.
- Mrs. Wielinski's flooring options: Company 1 charges $250 + $8/sq ft; Company 2 charges $320 + $6/sq ft. Need to determine when costs are equal.
- Shawn's trees: a maple tree (5 inches growing at 4 inches/month) and an oak tree (50 inches growing at 1 inch/month) will be the same height after a period.
- Annie's exercise times: 5 push-ups and 10 sit-ups take 15 seconds; 9 push-ups and 16 sit-ups take 25 seconds. Calculate time per exercise.
- An event planner's expenses: 1 large ice sculpture costs $138; another event involved 1 small sculpture and 3 large sculptures totaled $477. Determine the costs of each.
- Manchester Nail Salon performed a total of 19 manicures and 2 pedicures for $297 in one week, and 22 manicures and 2 pedicures for $336 in another. Find individual service rates.
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Description
This quiz focuses on solving word problems using systems of equations. Each problem includes a scenario involving different items or animals, challenging the student to determine quantities based on given conditions. Enhance your problem-solving skills in this essential math topic!
