Solving Real-Life Systems of Equations: Grade 8 Challenge

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 50 tickets for $400, how many adult and student tickets were sold?

• 30 adult tickets and 20 student tickets

• 20 adult tickets and 30 student tickets

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 student tickets

Maria and John are collecting cans for recycling. Maria collected twice as many cans as John. Together, they collected 60 cans. How many cans did each person collect?

• John collected 30 cans, Maria collected 30 cans.

• John collected 10 cans, Maria collected 50 cans.

• John collected 25 cans, Maria collected 35 cans.

• John collected 20 cans, Maria collected 40 cans.

A farmer has chickens and cows. If there are 20 animals in total and the number of chickens is 4 more than the number of cows, how many chickens and cows does the farmer have?

• 5 chickens and 15 cows

• 12 chickens and 8 cows

• 10 chickens and 10 cows

• 15 chickens and 5 cows

In a bookstore, the price of a novel is $15 and the price of a magazine is $5. If a customer buys a total of 10 items for $100, how many novels and magazines did they buy?

• 5 novels and 5 magazines

• 3 novels and 7 magazines

• 4 novels and 6 magazines

• 6 novels and 4 magazines

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

• 100 miles

• 120 miles

• 75 miles

• 50 miles

Two friends, Alex and Sam, are saving money for a concert. Alex saves $5 each week, while Sam saves $10 each week. If they want to save a total of $100 together, how many weeks will it take for them to reach their goal?

• 7 weeks

• 10 weeks

• 5 weeks

• 12 weeks

A gardener is planting flowers and shrubs. If the number of flowers is three times the number of shrubs and the total number of plants is 32, how many flowers and shrubs are there?

• 24 flowers and 8 shrubs

• 20 flowers and 12 shrubs

• 16 flowers and 16 shrubs

• 28 flowers and 4 shrubs

In a class, the number of boys is 5 more than the number of girls. If there are 30 students in total, how many boys and girls are in the class?

• 20 boys and 10 girls

• 15 boys and 15 girls

• 10 boys and 20 girls

• 17 boys and 13 girls

A bakery sells cupcakes for $2 each and cookies for $1 each. If a customer buys a total of 20 items for $30, how many cupcakes and cookies did they buy?

• 10 cupcakes and 10 cookies

• 5 cupcakes and 15 cookies

• 12 cupcakes and 8 cookies

• 15 cupcakes and 5 cookies

A movie theater has two types of tickets: adult tickets for $12 and child tickets for $6. If a total of 100 tickets were sold for $840, how many adult and child tickets were sold?

• 30 adult tickets and 70 child tickets

• 50 adult tickets and 50 child tickets

• 40 adult tickets and 60 child tickets

• 20 adult tickets and 80 child tickets