Mastering Substitution: Solve Real-World Word Problems

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If the total revenue from selling 50 tickets is $400, how many adult and student tickets were sold?

• 40 adult tickets and 10 student tickets

• 30 adult tickets and 20 student tickets

• 20 adult tickets and 30 student tickets

• 25 adult tickets and 25 student tickets

Maria has a total of $50 in dimes and quarters. If she has 3 more dimes than quarters, how many of each coin does she have?

• 150 dimes and 145 quarters

• 145 dimes and 142 quarters

• 200 dimes and 197 quarters

• 100 dimes and 97 quarters

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

• 10 chickens and 10 cows

• 12 chickens and 8 cows

• 5 chickens and 15 cows

• 15 chickens and 5 cows

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

• 15 boys and 15 girls

• 10 boys and 20 girls

• 20 boys and 10 girls

• 25 boys and 5 girls

A store sells pencils for $2 each and erasers for $3 each. If a student buys a total of 10 items and spends $24, how many pencils and erasers did the student buy?

• 4 pencils and 6 erasers

• 5 pencils and 5 erasers

• 6 pencils and 4 erasers

• 7 pencils and 3 erasers

Two friends, Alex and Jamie, are collecting stickers. Alex has 5 more stickers than Jamie, and together they have 35 stickers. How many stickers does each friend have?

• Alex has 30 stickers and Jamie has 5 stickers.

• Alex has 25 stickers and Jamie has 10 stickers.

• Alex has 15 stickers and Jamie has 20 stickers.

• Alex has 20 stickers and Jamie has 15 stickers.

A concert hall has two types of seating: regular seats and VIP seats. If the total number of seats is 200 and the total revenue from ticket sales is $3000, with regular seats costing $10 and VIP seats costing $20, how many of each type of seat were sold?

• 200 regular seats and 0 VIP seats

• 150 regular seats and 50 VIP seats

• 100 regular seats and 100 VIP seats

• 80 regular seats and 120 VIP seats

In a fruit basket, there are apples and oranges. If there are 12 more apples than oranges and the total number of fruits is 48, how many apples and oranges are in the basket?

• 25 apples and 23 oranges

• 30 apples and 18 oranges

• 20 apples and 28 oranges

• 15 apples and 33 oranges

A bookstore sells novels for $15 and magazines for $5. If a customer buys a total of 8 items and spends $70, how many novels and magazines did the customer buy?

• 1 novel and 7 magazines

• 4 novels and 4 magazines

• 3 novels and 5 magazines

• 2 novels and 6 magazines

A swimming pool is being filled with water. The pool can hold 500 gallons, and it is currently filled with 200 gallons. If water is being added at a rate of 10 gallons per minute and water is leaking out at a rate of 2 gallons per minute, how long will it take to fill the pool?

• 50 minutes

• 25 minutes

• 60 minutes

• 37.5 minutes