Solving Word Problems with Linear Equations for 6th Grade

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 they buy?

• 5 pencils and 5 erasers

• 7 pencils and 3 erasers

• 4 pencils and 6 erasers

• 6 pencils and 4 erasers

Two friends, Alice and Bob, are collecting stickers. Alice has 3 more stickers than Bob. Together, they have 27 stickers. How many stickers does each friend have?

• Alice has 20 stickers and Bob has 7 stickers.

• Alice has 12 stickers and Bob has 15 stickers.

• Alice has 10 stickers and Bob has 17 stickers.

• Alice has 15 stickers and Bob has 12 stickers.

A farmer has chickens and cows. If the total number of animals is 50 and there are 2 times as many chickens as cows, how many chickens and cows are there?

• 40 chickens and 10 cows

• 25 chickens and 25 cows

• 34 chickens and 16 cows

• 30 chickens and 20 cows

In a school, the number of boys is 5 more than twice the number of girls. If there are 35 students in total, how many boys and girls are there?

• 25 boys and 10 girls

• 15 boys and 20 girls

• 30 boys and 5 girls

• 20 boys and 15 girls

A movie theater sells adult tickets for $10 and child tickets for $6. If 50 tickets were sold for a total of $420, how many adult and child tickets were sold?

• 35 adult tickets and 15 child tickets

• 40 adult tickets and 10 child tickets

• 25 adult tickets and 25 child tickets

• 30 adult tickets and 20 child tickets

Maria and John are saving money. Maria has $15 more than John. Together, they have $85. How much money does each person have?

• John has $35 and Maria has $50.

• John has $25 and Maria has $60.

• John has $40 and Maria has $45.

• John has $30 and Maria has $55.

A recipe requires 2 cups of flour and 3 cups of sugar. If you want to make a batch that uses 12 cups of flour, how many cups of sugar will you need?

• 24 cups of sugar

• 18 cups of sugar

• 6 cups of sugar

• 12 cups of sugar

In a class, the number of girls is 4 less than three times the number of boys. If there are 32 students in total, how many boys and girls are there?

• 10 boys and 22 girls

• 8 boys and 24 girls

• 7 boys and 25 girls

• 9 boys and 23 girls

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys 8 items for a total of $66, how many novels and magazines did they buy?

• 2 novels and 6 magazines

• 3 novels and 5 magazines

• 5 novels and 3 magazines

• 4 novels and 4 magazines

A gardener has a total of 40 plants, consisting of roses and tulips. If there are 3 times as many tulips as roses, how many of each type of plant does the gardener have?

• 15 roses and 25 tulips

• 20 roses and 20 tulips

• 5 roses and 35 tulips

• 10 roses and 30 tulips