Solving Systems of Equations: Real-World Scenarios

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?

• 25 adult tickets and 25 student tickets

• 40 adult tickets and 10 student tickets

• 30 adult tickets and 20 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?

• 6 weeks

• 8 weeks

• 5 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?

• 5 chickens and 15 cows

• 12 chickens and 8 cows

• 15 chickens and 5 cows

• 10 chickens and 10 cows

Two friends, Alex and Sam, are collecting baseball cards. Alex has 3 times as many cards as Sam. Together, they have 64 cards. How many cards does each friend have?

• Sam has 20 cards and Alex has 44 cards.

• Sam has 24 cards and Alex has 40 cards.

• Sam has 32 cards and Alex has 32 cards.

• Sam has 16 cards and Alex has 48 cards.

A store sells pencils for $2 each and erasers for $1 each. If a customer buys a total of 30 items and spends $50, how many pencils and erasers did they buy?

• 15 pencils and 15 erasers

• 10 pencils and 20 erasers

• 20 pencils and 10 erasers

• 25 pencils and 5 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?

• 12 boys and 13 girls

• 15 boys and 10 girls

• 10 boys and 15 girls

• 20 boys and 5 girls

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

• 100 miles

• 75 miles

• 50 miles

• 120 miles

A concert hall has two types of seating: regular seats for $25 and VIP seats for $50. If 200 seats were sold for a total of $8000, how many regular and VIP seats were sold?

• 90 regular seats and 110 VIP seats

• 50 regular seats and 150 VIP seats

• 80 regular seats and 120 VIP seats

• 100 regular seats and 100 VIP seats

A bakery sells muffins for $3 each and cookies for $2 each. If they sold a total of 100 items for $240, how many muffins and cookies did they sell?

• 20 muffins and 80 cookies

• 40 muffins and 60 cookies

• 30 muffins and 70 cookies

• 50 muffins and 50 cookies

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer buys a total of 40 fruits and spends $70, how many apples and bananas did they buy?

• 30 apples and 10 bananas

• 35 apples and 5 bananas

• 20 apples and 20 bananas

• 25 apples and 15 bananas