Mastering Elimination in Real-World Word Problems

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?

• 25 adult tickets and 25 student tickets

• 20 adult tickets and 30 student tickets

• 30 adult tickets and 20 student tickets

• 40 adult tickets and 10 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?

• Maria collected 20 cans, John collected 40 cans.

• Maria collected 40 cans, John collected 20 cans.

• Maria collected 50 cans, John collected 10 cans.

• Maria collected 30 cans, John collected 30 cans.

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

• 15 chickens and 5 cows

• 5 chickens and 15 cows

• 12 chickens and 8 cows

• 10 chickens and 10 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 fruit seller has apples and oranges. If the total number of fruits is 30 and the total cost is $120, with apples costing $4 each and oranges costing $2 each, how many apples and oranges are there?

• 10 apples and 20 oranges

• 30 apples and 0 oranges

• 20 apples and 10 oranges

• 15 apples and 15 oranges

Two friends, Alex and Sam, are saving money for a concert. Alex has $20 more than Sam. Together, they have $120. How much money does each friend have?

• Sam has $60, Alex has $80

• Sam has $50, Alex has $70

• Sam has $40, Alex has $60

• Sam has $30, Alex has $50

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?

• 150 miles

• 200 miles

• 100 miles

• 50 miles

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?

• 12 boys and 24 girls

• 18 boys and 18 girls

• 24 boys and 12 girls

• 30 boys and 6 girls

A bakery sells cupcakes and cookies. If the total number of baked goods is 50 and the total revenue is $200, with cupcakes priced at $4 each and cookies at $2 each, how many of each were sold?

• 25 cupcakes and 25 cookies

• 50 cupcakes and 0 cookies

• 30 cupcakes and 20 cookies

• 40 cupcakes and 10 cookies

A gym has two types of memberships: monthly and yearly. The monthly membership costs $30, and the yearly membership costs $300. If a total of 15 memberships were sold for $900, how many of each type were sold?

• 15 monthly and 0 yearly memberships

• 10 monthly and 5 yearly memberships

• 12 monthly and 3 yearly memberships

• 13 monthly and 2 yearly memberships