Systems of Equations - Word Problems

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.

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!