Mastering Systems of Equations: Real-World Applications

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?

• 20 adult tickets and 30 student tickets

• 40 adult tickets and 10 student tickets

• 30 adult tickets and 20 student tickets

• 25 adult tickets and 25 student tickets

Maria and John are saving money for a concert. Maria has $20 more than John. Together, they have $120. How much money does each person have?

• John has $40 and Maria has $60.

• John has $60 and Maria has $80.

• John has $30 and Maria has $90.

• John has $50 and Maria has $70.

A farmer has chickens and cows. The total number of animals is 30, and there are 80 legs in total. How many chickens and cows does the farmer have?

• 15 chickens and 15 cows

• 5 chickens and 25 cows

• 10 chickens and 20 cows

• 12 chickens and 18 cows

In a class, the number of boys is twice the number of girls. If there are 36 students in total, how many boys and girls are there?

• 30 girls and 6 boys

• 24 girls and 12 boys

• 18 girls and 18 boys

• 12 girls and 24 boys

A store sells pencils for $2 each and erasers for $3 each. If a customer buys a total of 15 items for $36, how many pencils and erasers did they buy?

• 10 pencils and 5 erasers

• 9 pencils and 6 erasers

• 7 pencils and 8 erasers

• 8 pencils and 7 erasers

Two friends, Alex and Sam, are collecting coins. Alex has 5 more coins than Sam, and together they have 45 coins. How many coins does each friend have?

• Alex has 10 coins and Sam has 35 coins.

• Alex has 25 coins and Sam has 20 coins.

• Alex has 30 coins and Sam has 15 coins.

• Alex has 20 coins and Sam has 25 coins.

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?

• 200 miles

• 150 miles

• 50 miles

• 100 miles

In a fruit basket, there are apples and oranges. The number of apples is three times the number of oranges. If there are 32 fruits in total, how many apples and oranges are there?

• 20 apples and 12 oranges

• 16 apples and 16 oranges

• 10 apples and 22 oranges

• 24 apples and 8 oranges

A bookstore sells novels for $15 and magazines for $5. If a customer buys a total of 10 items for $100, how many novels and magazines did they buy?

• 6 novels and 4 magazines

• 4 novels and 6 magazines

• 3 novels and 7 magazines

• 5 novels and 5 magazines

A gym has two types of memberships: a monthly membership for $30 and a yearly membership for $300. If 20 memberships were sold for a total of $600, how many of each type were sold?

• 5 monthly memberships and 15 yearly memberships

• 15 monthly memberships and 5 yearly memberships

• 10 monthly memberships and 10 yearly memberships

• 20 monthly memberships and 0 yearly memberships