Solving Real-Life Linear Systems: Equations in Action

A school is selling tickets for a play. Adult tickets cost $10 each and student tickets cost $5 each. If they sold a total of 150 tickets for $1000, how many adult and student tickets were sold?

• 50 adult tickets and 100 student tickets

• 60 adult tickets and 90 student tickets

• 70 adult tickets and 80 student tickets

• 30 adult tickets and 120 student tickets

A farmer has chickens and cows. If there are 20 animals in total and they have 56 legs, how many chickens and cows does the farmer have?

• 5 chickens and 15 cows

• 15 chickens and 5 cows

• 10 chickens and 10 cows

• 12 chickens and 8 cows

Two friends are saving money for a concert. One saves $15 a week and the other saves $10 a week. If they want to save a total of $200 together, how many weeks will it take for them to reach their goal?

• 6 weeks

• 12 weeks

• 10 weeks

• 8 weeks

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50, how many miles did they drive?

• 75 miles

• 120 miles

• 100 miles

• 50 miles

A bookstore sells fiction and non-fiction books. If they sold 80 books in total and made $400, with fiction books priced at $5 and non-fiction at $10, how many of each type of book did they sell?

• 50 fiction books, 30 non-fiction books

• 60 fiction books, 20 non-fiction books

• 80 fiction books, 0 non-fiction books

• 70 fiction books, 10 non-fiction books

A gym offers two membership plans. Plan A costs $25 per month and Plan B costs $15 per month plus a one-time fee of $50. If a customer pays $100, which plan did they choose and how long will they be a member?

• Plan B, 3 months

• Plan A, 2 months

• Plan B, 4 months

• Plan A, 4 months

A local bakery sells muffins and cookies. If they sold 120 items and made $240, with muffins priced at $2 each and cookies at $1 each, how many muffins and cookies were sold?

• 120 muffins and 0 cookies

• 80 muffins and 40 cookies

• 60 muffins and 60 cookies

• 100 muffins and 20 cookies

A concert hall has two types of seating: regular seats for $20 and VIP seats for $50. If they sold 200 tickets for a total of $7000, how many regular and VIP tickets were sold?

• 50 regular tickets and 150 VIP tickets

• 150 regular tickets and 50 VIP tickets

• 100 regular tickets and 100 VIP tickets

• 200 VIP tickets and 0 regular tickets

A company produces two types of gadgets. Type A costs $30 to produce and Type B costs $20. If they produced 100 gadgets and spent $2400, how many of each type did they produce?

• 20 Type A gadgets and 80 Type B gadgets

• 40 Type A gadgets and 60 Type B gadgets

• 50 Type A gadgets and 50 Type B gadgets

• 30 Type A gadgets and 70 Type B gadgets

A charity is collecting donations. If they received $5 for each small donation and $20 for each large donation, and they collected a total of $500 from 40 donations, how many small and large donations did they receive?

• 30 small donations and 10 large donations

• 20 small donations and 20 large donations

• 25 small donations and 15 large donations

• 10 small donations and 30 large donations