Solving Real-World Problems with Systems of Equations

A farmer has chickens and cows. If the total number of animals is 30 and there are 100 legs in total, how many chickens and cows does the farmer have?

• 12 chickens and 18 cows

• 5 chickens and 25 cows

• 10 chickens and 20 cows

• 15 chickens and 15 cows

Two friends, Alex and Jamie, are saving money for a concert. Alex has $20 more than Jamie, and together they have $120. How much money does each friend have?

• Alex has $80, Jamie has $60.

• Alex has $60, Jamie has $40.

• Alex has $70, Jamie has $50.

• Alex has $50, Jamie has $30.

A bookstore sells fiction and non-fiction books. If the total number of books sold is 50 and the total revenue is $300, with fiction books priced at $6 and non-fiction at $8, how many of each type were sold?

• 30 fiction books and 20 non-fiction books

• 50 fiction books and 0 non-fiction books

• 40 fiction books and 10 non-fiction books

• 25 fiction books and 25 non-fiction books

In a school, the number of boys is twice the number of girls. If there are 60 students in total, how many boys and girls are there?

• 50 boys and 10 girls

• 30 boys and 30 girls

• 20 boys and 40 girls

• 40 boys and 20 girls

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?

• 100 miles

• 150 miles

• 50 miles

• 200 miles

A local gym offers two types of memberships: a monthly membership for $30 and a yearly membership for $300. If 10 people chose the monthly membership and the total revenue was $600, how many yearly memberships were sold?

• 3

• 1

• 5

• 2

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

• 100 regular tickets and 100 VIP tickets

• 180 regular tickets and 20 VIP tickets

• 150 regular tickets and 50 VIP tickets

• 160 regular tickets and 40 VIP tickets

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer bought a total of 15 fruits for $24, how many apples and bananas did they buy?

• 9 apples and 6 bananas

• 8 apples and 7 bananas

• 10 apples and 5 bananas

• 7 apples and 8 bananas

A school is planning a field trip. The cost of the bus is $200, and each student pays $10. If 30 students are going, how much money will be left after paying for the bus?

• $200

• $50

• $150

• $100

A bakery sells cupcakes and cookies. If the total number of baked goods is 40 and the total revenue is $200, with cupcakes priced at $5 and cookies at $3, how many cupcakes and cookies were sold?

• 20 cupcakes and 20 cookies

• 10 cupcakes and 30 cookies

• 30 cupcakes and 10 cookies

• 40 cupcakes and 0 cookies