Solving Real-World Problems with Systems of Equations

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

• 60 adult tickets and 90 student tickets

• 90 adult tickets and 60 student tickets

• 100 adult tickets and 50 student tickets

• 80 adult tickets and 70 student tickets

Maria and John are saving money for a new bike. Maria has $30 and saves $5 each week, while John has $20 and saves $10 each week. How many weeks will it take for them to have the same amount of money?

• 1 week

• 4 weeks

• 3 weeks

• 2 weeks

A farmer has chickens and cows. If the total number of animals is 50 and there are 150 legs in total, how many chickens and cows does the farmer have?

• 30 chickens and 20 cows

• 20 chickens and 30 cows

• 10 chickens and 40 cows

• 25 chickens and 25 cows

Two friends, Alex and Jamie, are collecting stamps. Alex has 20 stamps and collects 3 new stamps each week, while Jamie has 10 stamps and collects 5 new stamps each week. After how many weeks will they have the same number of stamps?

• 10 weeks

• 5 weeks

• 3 weeks

• 7 weeks

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Another company charges a flat fee of $30 plus $0.25 per mile. How many miles must you drive for the costs to be the same?

• 300 miles

• 500 miles

• 200 miles

• 400 miles

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 fiction and non-fiction books. If the total number of books sold is 200 and the fiction books sold are 3 times the non-fiction books, how many of each type of book were sold?

• Fiction: 100, Non-Fiction: 100

• Fiction: 150, Non-Fiction: 50

• Fiction: 180, Non-Fiction: 20

• Fiction: 120, Non-Fiction: 80

A concert hall has two types of seating: regular and VIP. If there are 200 seats in total and the VIP seats are twice the number of regular seats, how many regular and VIP seats are there?

• Regular seats: 100, VIP seats: 100

• Regular seats: 50, VIP seats: 150

• Regular seats: 80, VIP seats: 120

• Regular seats: 66, VIP seats: 134

A local gym offers two membership plans. Plan A costs $40 per month and Plan B costs $30 per month plus a one-time fee of $100. After how many months will the total cost of both plans be the same?

• 8 months

• 12 months

• 5 months

• 10 months

In a school, there are boys and girls. If the total number of students is 120 and the number of girls is 20 more than the number of boys, how many boys and girls are there?

• 30 boys and 90 girls

• 60 boys and 60 girls

• 40 boys and 80 girls

• 50 boys and 70 girls