Mastering Systems of Equations: Substitution & Elimination

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?

• 30 adult tickets and 20 student tickets

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 student tickets

• 20 adult tickets and 30 student tickets

Maria and John are saving money for a video game. Maria has $20 and saves $5 each week, while John has $10 and saves $10 each week. In how many weeks will they have the same amount of money?

• 3 weeks

• 4 weeks

• 2 weeks

• 1 week

A farmer has chickens and cows. If there are 30 animals in total and there are 80 legs, how many chickens and cows does the farmer have?

• 20 chickens and 10 cows

• 15 chickens and 15 cows

• 25 chickens and 5 cows

• 10 chickens and 20 cows

A bookstore sells fiction and non-fiction books. If the total number of books sold is 120 and the total revenue is $900, with fiction books priced at $10 and non-fiction at $15, how many of each type of book were sold?

• 60 fiction books and 60 non-fiction books

• 50 fiction books and 70 non-fiction books

• 80 fiction books and 40 non-fiction books

• 70 fiction books and 50 non-fiction books

Two friends, Alex and Jamie, are collecting stickers. Alex has 10 stickers and collects 3 more each week, while Jamie has 5 stickers and collects 5 more each week. After how many weeks will they have the same number of stickers?

• 2 weeks

• 3 weeks

• 5 weeks

• 4 weeks

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?

• 100 miles

• 50 miles

• 150 miles

• 200 miles

In a school, the ratio of boys to girls is 3:2. If there are 50 students in total, how many boys and girls are there?

• 30 boys and 20 girls

• 15 boys and 35 girls

• 25 boys and 25 girls

• 40 boys and 10 girls

A concert hall has two types of seating: regular seats and VIP seats. If the total number of seats is 200 and the total revenue from ticket sales is $3000, with regular seats priced at $10 and VIP seats at $25, how many of each type of seat were sold?

• 150 regular seats and 50 VIP seats

• 200 regular seats and 0 VIP seats

• 100 regular seats and 100 VIP seats

• 50 regular seats and 150 VIP seats

A gardener is planting flowers and shrubs. If the total number of plants is 40 and the total cost is $200, with flowers costing $3 each and shrubs costing $5 each, how many flowers and shrubs did the gardener plant?

• 20 flowers and 20 shrubs

• 0 flowers and 40 shrubs

• 5 flowers and 35 shrubs

• 10 flowers and 30 shrubs

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 $50. If a customer wants to spend the same amount on both plans after a certain number of months, how many months will it take?

• 10 months

• 6 months

• 5 months

• 4 months