Solving Word Problems: Systems of Equations Challenge

A school is selling tickets for a play. Adult tickets cost $10 each and student tickets cost $5 each. If the total revenue from selling 30 tickets is $200, how many adult and student tickets were sold?

• 5 adult tickets and 25 student tickets

• 15 adult tickets and 15 student tickets

• 20 adult tickets and 10 student tickets

• 10 adult tickets and 20 student tickets

Maria and John are saving money for a concert. Maria saves $15 each week, while John saves $10 each week. If together they want to save $150, how many weeks will it take for them to reach their goal?

• 8 weeks

• 6 weeks

• 7 weeks

• 5 weeks

A farmer has chickens and cows. If there are a total of 50 animals and the total number of legs is 140, how many chickens and cows does the farmer have?

• 25 chickens and 25 cows

• 40 chickens and 10 cows

• 15 chickens and 35 cows

• 30 chickens and 20 cows

Two friends, Alex and Jamie, are collecting stamps. Alex has twice as many stamps as Jamie. If together they have 60 stamps, how many stamps does each friend have?

• Alex has 30 stamps and Jamie has 30 stamps.

• Alex has 50 stamps and Jamie has 10 stamps.

• Alex has 40 stamps and Jamie has 20 stamps.

• Alex has 20 stamps and Jamie has 40 stamps.

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer paid $70 for their rental, how many miles did they drive?

• 50 miles

• 100 miles

• 150 miles

• 200 miles

In a fruit basket, there are apples and oranges. If there are 20 fruits in total and the number of apples is three times the number of oranges, how many apples and oranges are in the basket?

• 10 apples and 10 oranges

• 12 apples and 8 oranges

• 5 apples and 15 oranges

• 15 apples and 5 oranges

A bookstore sells fiction and non-fiction books. If the total number of books sold is 100 and the fiction books sold are 20 more than the non-fiction books, how many of each type of book were sold?

• Fiction: 50, Non-Fiction: 50

• Fiction: 60, Non-Fiction: 40

• Fiction: 70, Non-Fiction: 30

• Fiction: 40, Non-Fiction: 60

A gym has two types of memberships: monthly and yearly. A monthly membership costs $30, while a yearly membership costs $300. If the gym made $1,200 from memberships in one month, how many monthly and yearly memberships were sold?

• 50 monthly memberships and 1 yearly membership

• 20 monthly memberships and 10 yearly memberships

• 30 monthly memberships and 5 yearly memberships

• 40 monthly memberships and 0 yearly memberships, or 10 monthly memberships and 1 yearly membership.

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

• 20 boys and 5 girls

• 15 boys and 10 girls

• 12 boys and 13 girls

A local bakery sells muffins and cookies. If the total number of baked goods is 80 and the number of muffins is 10 more than twice the number of cookies, how many muffins and cookies are there?

• 56 muffins and 24 cookies

• 40 muffins and 40 cookies

• 70 muffins and 10 cookies

• 30 muffins and 50 cookies