Translate & Solve Real-World Systems of Equations

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 150 tickets for $1,200, how many adult and student tickets were sold?

• 80 adult tickets and 70 student tickets

• 100 adult tickets and 50 student tickets

• 60 adult tickets and 90 student tickets

• 90 adult tickets and 60 student tickets

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

• 8 weeks

• 7 weeks

• 5 weeks

• 6 weeks

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?

• 12 chickens and 8 cows

• 5 chickens and 15 cows

• 15 chickens and 5 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?

• 15 apples and 15 oranges

• 20 apples and 10 oranges

• 25 apples and 5 oranges

• 10 apples and 20 oranges

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

• 100 miles

• 50 miles

• 200 miles

Two friends, Alex and Sam, are collecting stamps. Alex has 3 times as many stamps as Sam. If together they have 80 stamps, how many stamps does each friend have?

• Alex has 70 stamps and Sam has 10 stamps.

• Alex has 60 stamps and Sam has 20 stamps.

• Alex has 40 stamps and Sam has 40 stamps.

• Alex has 50 stamps and Sam has 30 stamps.

A bookstore sells fiction and non-fiction books. If the total number of books sold is 200 and the fiction books sold are 50 more than the non-fiction books, how many of each type of book were sold?

• Fiction: 80, Non-Fiction: 120

• Fiction: 125, Non-Fiction: 75

• Fiction: 150, Non-Fiction: 50

• Fiction: 100, Non-Fiction: 100

A concert hall has two types of seating: regular and VIP. If there are 300 seats in total and the VIP seats are 50 more than the regular seats, how many VIP and regular seats are there?

• Regular seats: 150, VIP seats: 150

• Regular seats: 100, VIP seats: 200

• Regular seats: 175, VIP seats: 125

• Regular seats: 125, VIP seats: 175

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?

• 10 boys and 15 girls

• 15 boys and 10 girls

• 20 boys and 5 girls

• 12 boys and 13 girls

A bakery sells muffins and cookies. If the total number of baked goods is 100 and the number of muffins is 20 more than the number of cookies, how many muffins and cookies are there?

• 70 muffins and 30 cookies

• 60 muffins and 40 cookies

• 30 muffins and 70 cookies

• 50 muffins and 50 cookies