Solving Systems of Equations: Real-World Challenges

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 50 tickets for $400, how many adult and student tickets were sold?

• 40 adult tickets and 10 student tickets

• 30 adult tickets and 20 student tickets

• 25 adult tickets and 25 student tickets

• 35 adult tickets and 15 student tickets

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $15 each week, while Jamie saves $10 each week. If Alex has $30 more than Jamie after a certain number of weeks, how many weeks have they been saving?

• 4

• 8

• 10

• 6

A farmer has chickens and cows. If the total number of animals is 30 and the total number of legs is 100, how many chickens and cows does the farmer have?

• 20 chickens and 10 cows

• 10 chickens and 20 cows

• 15 chickens and 15 cows

• 5 chickens and 25 cows

A store sells pencils for $2 each and erasers for $3 each. If a customer buys a total of 20 items and spends $50, how many pencils and erasers did they buy?

• 15 pencils and 5 erasers

• 12 pencils and 8 erasers

• 5 pencils and 15 erasers

• 10 pencils and 10 erasers

In a class, the ratio of boys to girls is 3:2. If there are 25 students in total, how many boys and girls are in the class?

• 20 boys and 5 girls

• 12 boys and 13 girls

• 10 boys and 15 girls

• 15 boys and 10 girls

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer paid $70, how many miles did they drive?

• 150 miles

• 50 miles

• 200 miles

• 100 miles

A local gym offers two membership plans. Plan A costs $30 per month, and Plan B costs $20 per month plus a one-time fee of $60. If a customer wants to spend no more than $120, how many months can they afford each plan?

• Plan A: 2 months, Plan B: 5 months

• Plan A: 5 months, Plan B: 4 months

• Plan A: 3 months, Plan B: 2 months

• Plan A: 4 months, Plan B: 3 months

A bakery sells muffins for $2 each and cookies for $1 each. If a customer buys a total of 15 items and spends $24, how many muffins and cookies did they buy?

• 7 muffins and 8 cookies

• 8 muffins and 7 cookies

• 10 muffins and 5 cookies

• 9 muffins and 6 cookies

Two types of plants are being grown in a garden. Type A grows 3 inches per week, while Type B grows 2 inches per week. If after 4 weeks, the height of Type A is 10 inches more than Type B, what were their initial heights?

• Type A: 8 inches, Type B: 2 inches

• Type A: 6 inches, Type B: 0 inches

• Type A: 4 inches, Type B: 2 inches

• Type A: 5 inches, Type B: 1 inch

A concert hall has two types of seating: regular seats and VIP seats. Regular seats cost $50 each, and VIP seats cost $100 each. If the total revenue from 200 seats sold is $12,000, how many regular and VIP seats were sold?

• 100 regular seats and 100 VIP seats

• 50 regular seats and 150 VIP seats

• 150 regular seats and 50 VIP seats

• 200 regular seats and 0 VIP seats