Solving Real-World Problems with Systems: 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 150 tickets for $1,200, how many adult and student tickets were sold?

• 90 adult tickets and 60 student tickets

• 80 adult tickets and 70 student tickets

• 60 adult tickets and 90 student tickets

• 100 adult tickets and 50 student tickets

Maria and John are saving money for a new bike. Maria has $30 and saves $5 each week. John has $20 and saves $10 each week. In how many weeks will they have the same amount of money?

• 1 week

• 2 weeks

• 3 weeks

• 4 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?

• 10 chickens and 10 cows

• 12 chickens and 8 cows

• 15 chickens and 5 cows

• 5 chickens and 15 cows

A bookstore sells fiction and non-fiction books. If the total number of books sold is 80 and the total revenue is $400, with fiction books priced at $6 and non-fiction at $8, how many of each type of book were sold?

• 40 fiction books and 40 non-fiction books

• 20 fiction books and 60 non-fiction books

• 50 fiction books and 30 non-fiction books

• 30 fiction books and 50 non-fiction books

Two friends, Alex and Jamie, are collecting stamps. Alex has 50 stamps and collects 3 more each week. Jamie has 30 stamps and collects 5 more each week. How many weeks will it take for them to have the same number of stamps?

• 10 weeks

• 15 weeks

• 5 weeks

• 20 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?

• 50 miles

• 100 miles

• 150 miles

• 200 miles

In a fruit basket, there are apples and oranges. If there are 30 fruits in total and the total weight is 10 kg, with apples weighing 0.2 kg each and oranges weighing 0.5 kg each, how many apples and oranges are in the basket?

• 15 apples and 15 oranges

• 10 apples and 20 oranges

• 20 apples and 10 oranges

• 25 apples and 5 oranges

A concert hall has two types of seating: regular and VIP. Regular seats cost $50 and VIP seats cost $100. If 200 seats were sold for a total of $12,000, how many regular and VIP seats were sold?

• 160 regular seats and 40 VIP seats

• 150 regular seats and 50 VIP seats

• 100 regular seats and 100 VIP seats

• 180 regular seats and 20 VIP seats

A local gym has two membership plans. Plan A costs $30 per month and Plan B costs $50 per month. If 100 members signed up and the total revenue was $4,000, how many members chose each plan?

• 70 members chose Plan A and 30 members chose Plan B.

• 60 members chose Plan A and 40 members chose Plan B.

• 50 members chose Plan A and 50 members chose Plan B.

• 80 members chose Plan A and 20 members chose Plan B.

A bakery sells two types of cookies: chocolate chip and oatmeal. If they sold a total of 120 cookies for $240, with chocolate chip cookies priced at $2 each and oatmeal cookies at $1.50 each, how many of each type of cookie were sold?

• 80 chocolate chip cookies and 40 oatmeal cookies

• 120 chocolate chip cookies and 0 oatmeal cookies

• 100 chocolate chip cookies and 20 oatmeal cookies

• 60 chocolate chip cookies and 60 oatmeal cookies