Assignment - Solving Systems of Equations - Real World

Last updated almost 5 years ago
6 questions
1

Austin is participating in a 30K race. He runs at an average speed of 10 kilometers an hour and walks at an average speed of 6 kilometers per hour. He wants to complete the race in 4 hours.

Write and solve a system of equations to find the number of hours he ran (x) and the number of hours he walked (y).

1

A roller coaster has 15 cars. Some of the cars hold 4 people and some of the cars hold 6 people. There is room for a total of 72 people.

Write and solve a system of equations to find the number of 4-passenger cars (x) and the number of 6-passenger cars (y).

1

A science test is worth 100 points and has 25 questions. There are multiple choice questions worth 3 points each and short essay questions worth 8 points each.

Write and solve a system of equations to find the number of multiple choice questions (x) and the number of short essay questions (y).

1

A Geometry teacher has a set of 60 plastic pentagons and octagons. She happened to notice that all the figures together have a total of 354 sides.

Write and solve a system of equations to find the number of pentgons (x) and the number of octagons (y) the teacher has.

1

An Algebra teacher drove by a farmyard full of chickens and pigs. The teacher happened to notice that there were a total of 100 heads and 270 legs.

Write and solve a system of equations to find the number of chickens (x) and the number of pigs (y) in the farmyard.

1

A shipment of 20 computer monitors, some weighing 25 lbs each and the others weighing 40 lbs each, has a total weight of 680 lbs.

Write and solve a system of equations to find the number of 25 lb monitors (x) and the number of 40 lb monitors (y) in the shipment.