Solving Real-Life Word Problems with Systems of Equations

A farmer has a rectangular field. The length is 3 meters more than twice the width. If the area of the field is 60 square meters, what are the dimensions of the field?

• Width: 6 meters, Length: 15 meters

• Width: 7 meters, Length: 18 meters

• Width: 4 meters, Length: 10 meters

• Width: 5 meters, Length: 12 meters

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Another company charges $30 plus $0.30 per mile. How many miles must you drive for both companies to charge the same amount?

• 250 miles

• 150 miles

• 200 miles

• 100 miles

A theater sells tickets for $10 for adults and $5 for children. If the total revenue from ticket sales is $300 and the number of tickets sold is 40, how many adult and children tickets were sold?

• 10 adult tickets and 30 children tickets

• 30 adult tickets and 10 children tickets

• 20 adult tickets and 20 children tickets

• 15 adult tickets and 25 children tickets

A swimming pool is being filled with water. The pool can hold 5000 liters. A hose fills the pool at a rate of 50 liters per minute, while a drain removes water at a rate of 20 liters per minute. How long will it take to fill the pool?

• 150 minutes

• 167 minutes

• 300 minutes

• 200 minutes

A company produces two types of gadgets. The first type costs $15 to produce and the second type costs $25. If the company has a budget of $300 and wants to produce a total of 15 gadgets, how many of each type can they produce?

• 5 type 1 gadgets and 10 type 2 gadgets

• 10 type 1 gadgets and 5 type 2 gadgets

• 7 type 1 gadgets and 8 type 2 gadgets

• 0 type 1 gadgets and 15 type 2 gadgets

A rectangular garden has a length that is 4 meters longer than its width. If the perimeter of the garden is 48 meters, what are the dimensions of the garden?

• Width: 10 meters, Length: 14 meters

• Width: 12 meters, Length: 16 meters

• Width: 8 meters, Length: 12 meters

• Width: 6 meters, Length: 10 meters

A local bakery sells muffins for $2 each and cookies for $1 each. If they sold a total of 100 items and made $150, how many muffins and cookies did they sell?

• 60 muffins and 40 cookies

• 50 muffins and 50 cookies

• 40 muffins and 60 cookies

• 30 muffins and 70 cookies

A boat travels upstream at a speed of 10 km/h and downstream at 15 km/h. If the total time for a round trip is 4 hours, what is the distance traveled upstream?

• 18 km

• 24 km

• 30 km

• 20 km

A school is planning a field trip. The cost per student is $30, and they have a total budget of $600. If they want to include 10 adult chaperones at no cost, how many students can attend?

• 20 students

• 15 students

• 25 students

• 30 students

A rectangular pool is 2 meters longer than it is wide. If the area of the pool is 80 square meters, what are the dimensions of the pool?

• Width: 6 meters, Length: 8 meters

• Width: 9 meters, Length: 11 meters

• Width: 8 meters, Length: 10 meters

• Width: 5 meters, Length: 7 meters