Grade 6 Systems Word Problems: One-Step Equations Challenge

A store sells pencils for $0.50 each and erasers for $0.75 each. If a student buys a total of 10 items and spends $6.00, how many pencils and erasers did they buy?

• 5 pencils and 5 erasers

• 6 pencils and 4 erasers

• 7 pencils and 3 erasers

• 4 pencils and 6 erasers

Maria has twice as many marbles as John. If the total number of marbles they have together is 30, how many marbles does each person have?

• John has 10 marbles and Maria has 20 marbles.

• John has 5 marbles and Maria has 25 marbles.

• John has 12 marbles and Maria has 18 marbles.

• John has 15 marbles and Maria has 15 marbles.

A gardener is planting flowers in two types of pots. The small pots hold 3 flowers each, and the large pots hold 5 flowers each. If the gardener uses a total of 20 pots and plants 80 flowers, how many of each type of pot did they use?

• 5 small pots and 15 large pots

• 15 small pots and 5 large pots

• 8 small pots and 12 large pots

• 10 small pots and 10 large pots

In a school, there are 120 students in total. The number of boys is 20 more than the number of girls. How many boys and girls are there?

• 60 boys and 60 girls

• 70 boys and 50 girls

• 50 boys and 70 girls

• 80 boys and 40 girls

A baker makes cookies and brownies. Each cookie costs $2 and each brownie costs $3. If a customer buys a total of 15 items and spends $36, how many cookies and brownies did they buy?

• 9 cookies and 6 brownies

• 7 cookies and 8 brownies

• 10 cookies and 5 brownies

• 8 cookies and 7 brownies

Tom has a collection of stamps. He has 5 more than twice the number of stamps that Jerry has. If together they have 35 stamps, how many stamps does each person have?

• Tom has 20 stamps and Jerry has 15 stamps.

• Tom has 30 stamps and Jerry has 5 stamps.

• Tom has 25 stamps and Jerry has 10 stamps.

• Tom has 15 stamps and Jerry has 20 stamps.

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer pays $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 bananas. The number of apples is 3 times the number of bananas. If there are 48 fruits in total, how many apples and bananas are there?

• 24 apples and 24 bananas

• 36 apples and 12 bananas

• 40 apples and 8 bananas

• 30 apples and 18 bananas

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

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 student tickets

• 30 adult tickets and 20 student tickets

A pet store has cats and dogs. The number of dogs is 4 less than twice the number of cats. If there are 20 pets in total, how many cats and dogs are there?

• 8 cats and 12 dogs

• 6 cats and 14 dogs

• 5 cats and 15 dogs

• 10 cats and 10 dogs