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

• 25 adult tickets and 25 student tickets

• 40 adult tickets and 10 student tickets

• 20 adult tickets and 30 student tickets

Maria and John are saving money for a new bike. Maria saves $15 a week, while John saves $10 a week. If they want to save a total of $150 together, how many weeks will it take for them to reach their goal?

• 8 weeks

• 5 weeks

• 6 weeks

• 7 weeks

A farmer has chickens and cows. If there are 20 animals in total and they have 60 legs, how many chickens and cows does the farmer have?

• 15 chickens and 5 cows

• 5 chickens and 15 cows

• 12 chickens and 8 cows

• 10 chickens and 10 cows

In a fruit basket, there are apples and oranges. If there are 30 fruits in total and the number of apples is twice the number of oranges, how many apples and oranges are there?

• 20 apples and 10 oranges

• 10 apples and 20 oranges

• 25 apples and 5 oranges

• 15 apples and 15 oranges

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys a total of 10 items and spends $80, how many novels and magazines did they buy?

• 5 novels and 5 magazines

• 3 novels and 7 magazines

• 4 novels and 6 magazines

• 2 novels and 8 magazines

Two friends, Alex and Jamie, are collecting stickers. Alex has 3 times as many stickers as Jamie. If together they have 48 stickers, how many stickers does each friend have?

• Alex has 36 stickers and Jamie has 12 stickers.

• Alex has 30 stickers and Jamie has 18 stickers.

• Alex has 24 stickers and Jamie has 24 stickers.

• Alex has 40 stickers and Jamie has 8 stickers.

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

• 200 miles

• 150 miles

• 50 miles

• 100 miles

In a school, the number of boys is 4 more than twice the number of girls. If there are 28 students in total, how many boys and girls are there?

• 18 boys and 10 girls

• 20 boys and 8 girls

• 22 boys and 6 girls

• 16 boys and 12 girls

A concert hall has two types of seating: regular seats and VIP seats. Regular seats cost $30 each and VIP seats cost $50 each. If 100 seats were sold for a total of $4000, how many of each type of seat were sold?

• 60 regular seats and 40 VIP seats

• 50 regular seats and 50 VIP seats

• 70 regular seats and 30 VIP seats

• 80 regular seats and 20 VIP seats

A gardener is planting flowers and shrubs. If the number of flowers is 5 more than twice the number of shrubs and there are 35 plants in total, how many flowers and shrubs are there?

• 30 flowers and 5 shrubs

• 15 flowers and 20 shrubs

• 25 flowers and 10 shrubs

• 20 flowers and 15 shrubs