Solving Linear Equations: Real-World Applications for 8th Grade

A school is selling tickets for a concert. Adult tickets cost $15 each and student tickets cost $10 each. If the school sells a total of 200 tickets and makes $2,500, how many adult and student tickets were sold?

• 200 adult tickets and 0 student tickets

• 100 adult tickets and 100 student tickets

• 50 adult tickets and 150 student tickets

• 150 adult tickets and 50 student tickets

A farmer has two types of crops: corn and wheat. He sells corn for $3 per bushel and wheat for $4 per bushel. If he sells a total of 150 bushels and earns $540, how many bushels of each crop did he sell?

• 50 bushels of corn and 100 bushels of wheat

• 70 bushels of corn and 80 bushels of wheat

• 40 bushels of corn and 110 bushels of wheat

• 60 bushels of corn and 90 bushels of wheat

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Another company charges a flat fee of $25 plus $0.25 per mile. How many miles must you drive for the costs to be the same for both companies?

• 100 miles

• 120 miles

• 75 miles

• 50 miles

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $5 each week, while Jamie saves $8 each week. If they both start with $20, how many weeks will it take for them to have the same amount of money saved?

• 1 week

• 2 weeks

• 3 weeks

• 0 weeks

A local gym offers two membership plans. Plan A costs $40 per month, while Plan B has a one-time fee of $100 and $20 per month. After how many months will the total cost of both plans be the same?

• 3 months

• 5 months

• 7 months

• 10 months

A bookstore sells fiction and non-fiction books. Fiction books are priced at $12 each, and non-fiction books are $15 each. If the bookstore sells a total of 100 books for $1,200, how many of each type of book were sold?

• 80 fiction books and 20 non-fiction books

• 50 fiction books and 50 non-fiction books

• 100 fiction books and 0 non-fiction books

• 70 fiction books and 30 non-fiction books

A delivery service charges a base fee of $10 plus $2 per mile. Another service charges a base fee of $5 plus $3 per mile. How far can you travel for $25 with each service, and when will the costs be equal?

• First service: 5 miles, Second service: 8 miles, Costs equal at 3 miles.

• First service: 6 miles, Second service: 9 miles, Costs equal at 2 miles.

• First service: 10 miles, Second service: 4 miles, Costs equal at 7 miles.

• First service: 7.5 miles, Second service: 6.67 miles, Costs equal at 5 miles.

In a school, the number of boys is twice the number of girls. If the total number of students is 60, how many boys and girls are there?

• 50 boys and 10 girls

• 30 boys and 30 girls

• 20 boys and 40 girls

• 40 boys and 20 girls

A company produces two types of gadgets. Type A costs $50 to produce, and Type B costs $30. If the company produces a total of 100 gadgets and spends $3,800, how many of each type did they produce?

• 30 Type A gadgets and 70 Type B gadgets

• 40 Type A gadgets and 60 Type B gadgets

• 50 Type A gadgets and 50 Type B gadgets

• 20 Type A gadgets and 80 Type B gadgets

A park charges $5 for adults and $3 for children. If a group of 50 people paid a total of $200 to enter the park, how many adults and children were in the group?

• 20 adults and 30 children

• 10 adults and 40 children

• 25 adults and 25 children

• 30 adults and 20 children