8th Grade Systems of Equations: Solving & Graphing Challenges

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?

• 40 adult tickets and 10 student tickets

• 20 adult tickets and 30 student tickets

• 25 adult tickets and 25 student tickets

• 30 adult tickets and 20 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 $30 and Maria has $90.

• John has $40 and Maria has $60.

• John has $60 and Maria has $80.

• John has $50 and Maria has $70.

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

• 15 chickens and 15 cows

• 20 chickens and 10 cows

• 5 chickens and 25 cows

• 10 chickens and 20 cows

Two friends, Alex and Sam, are collecting baseball cards. Alex has 3 times as many cards as Sam. Together, they have 80 cards. How many cards does each friend have?

• Alex has 70 cards and Sam has 10 cards.

• Alex has 40 cards and Sam has 40 cards.

• Alex has 60 cards and Sam has 20 cards.

• Alex has 50 cards and Sam has 30 cards.

A store sells pencils for $0.50 each and erasers for $1.00 each. If a student buys a total of 10 items and spends $6, how many pencils and erasers did they buy?

• 6 pencils and 4 erasers

• 8 pencils and 2 erasers

• 7 pencils and 3 erasers

• 5 pencils and 5 erasers

In a class, the ratio of boys to girls is 2:3. If there are 25 students in total, how many boys and girls are in the class?

• 12 boys and 13 girls

• 10 boys and 15 girls

• 8 boys and 17 girls

• 5 boys and 20 girls

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50, how many miles did they drive?

• 100 miles

• 120 miles

• 75 miles

• 50 miles

A bakery sells muffins for $2 each and cookies for $1 each. If a customer buys a total of 15 items and spends $24, how many muffins and cookies did they buy?

• 10 muffins and 5 cookies

• 9 muffins and 6 cookies

• 8 muffins and 7 cookies

• 7 muffins and 8 cookies

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer buys a total of 12 fruits and spends $20, how many apples and bananas did they buy?

• 6 apples and 6 bananas

• 10 apples and 2 bananas

• 8 apples and 4 bananas

• 5 apples and 7 bananas

A gym has two types of memberships: a monthly membership for $30 and a yearly membership for $300. If 10 people signed up for monthly memberships and 5 for yearly memberships, how much money did the gym make in total?

• 450

• 600

• 700

• 500