Solving Word Problems: Systems of Equations for Grade 6

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

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 student tickets

• 30 adult tickets and 20 student tickets

• 15 adult tickets and 35 student tickets

Maria and John are saving money for a video game. Maria has $20 and saves $5 each week, while John has $10 and saves $10 each week. In how many weeks will they have the same amount of money?

• 4 weeks

• 1 week

• 3 weeks

• 2 weeks

A farmer has chickens and cows. If there are 30 animals in total and there are 80 legs, how many chickens and cows does the farmer have?

• 20 chickens and 10 cows

• 10 chickens and 20 cows

• 15 chickens and 15 cows

• 25 chickens and 5 cows

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

• 5 apples and 7 oranges

• 10 apples and 2 oranges

• 6 apples and 6 oranges

• 8 apples and 4 oranges

A bookstore sells fiction and non-fiction books. If they sold 100 books in total and made $1,200, with fiction books priced at $15 and non-fiction at $10, how many of each type of book did they sell?

• 20 fiction books and 80 non-fiction books

• 40 fiction books and 60 non-fiction books

• 50 fiction books and 50 non-fiction books

• 30 fiction books and 70 non-fiction books

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

• Sam has 5 stickers and Alex has 30 stickers.

• Sam has 20 stickers and Alex has 15 stickers.

• Sam has 15 stickers and Alex has 20 stickers.

• Sam has 10 stickers and Alex has 25 stickers.

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?

• 50 miles

• 150 miles

• 200 miles

• 100 miles

In a class, the number of boys is twice the number of girls. If there are 24 students in total, how many boys and girls are there?

• 16 boys and 8 girls

• 20 boys and 4 girls

• 12 boys and 12 girls

• 10 boys and 14 girls

A pet store has cats and dogs. If there are 15 pets in total and the number of dogs is 3 less than the number of cats, how many cats and dogs are there?

• 9 cats and 6 dogs

• 7 cats and 8 dogs

• 8 cats and 7 dogs

• 10 cats and 5 dogs

A concert has two types of tickets: VIP tickets for $100 and regular tickets for $50. If 200 tickets were sold for a total of $12,000, how many VIP and regular tickets were sold?

• 60 VIP tickets and 140 regular tickets

• 40 VIP tickets and 160 regular tickets

• 30 VIP tickets and 170 regular tickets

• 50 VIP tickets and 150 regular tickets