Real-Life Systems of Equations: Check Reasonableness & Graph

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

• 30 adult tickets and 20 student tickets

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 student tickets

Maria and John are collecting stamps. Maria has 3 times as many stamps as John. Together, they have 64 stamps. How many stamps does each person have?

• John has 20 stamps and Maria has 44 stamps.

• John has 24 stamps and Maria has 40 stamps.

• John has 16 stamps and Maria has 48 stamps.

• John has 32 stamps and Maria has 32 stamps.

A farmer has chickens and cows. If there are 20 animals in total and there are 56 legs, how many chickens and cows does the farmer have?

• 10 chickens and 10 cows

• 5 chickens and 15 cows

• 15 chickens and 5 cows

• 12 chickens and 8 cows

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer buys a total of 30 fruits for $50, how many apples and bananas did they buy?

• 20 apples and 10 bananas

• 15 apples and 15 bananas

• 10 apples and 20 bananas

• 25 apples and 5 bananas

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

• 5 novels and 5 magazines

• 6 novels and 4 magazines

• 7 novels and 3 magazines

• 4 novels and 6 magazines

Two friends are saving money for a concert. One saves $5 a week and the other saves $10 a week. If together they want to save $100, how many weeks will it take for them to reach their goal?

• 7 weeks

• 5 weeks

• 10 weeks

• 15 weeks

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

• 50 miles

• 120 miles

• 100 miles

• 75 miles

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

• 10 boys and 15 girls

• 12 boys and 13 girls

• 15 boys and 10 girls

• 20 boys and 5 girls

A bakery sells cupcakes for $3 each and cookies for $2 each. If a customer buys 15 items for $36, how many cupcakes and cookies did they buy?

• 5 cupcakes and 10 cookies

• 7 cupcakes and 8 cookies

• 4 cupcakes and 11 cookies

• 6 cupcakes and 9 cookies

A gym has two types of memberships: a monthly membership for $25 and a yearly membership for $250. If 40 members signed up and the total revenue was $800, how many of each type of membership did they sell?

• 15 monthly memberships and 25 yearly memberships

• 5 monthly memberships and 35 yearly memberships

• 10 monthly memberships and 30 yearly memberships

• 8 monthly memberships and 32 yearly memberships