Systems of Equations: Real-World Problem Solving for 7th Graders

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 the student buy?

• 5 pencils and 5 erasers

• 7 pencils and 3 erasers

• 4 pencils and 6 erasers

• 6 pencils and 4 erasers

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

• Alex has 15 stickers and Jamie has 20 stickers.

• Alex has 30 stickers and Jamie has 5 stickers.

• Alex has 25 stickers and Jamie has 10 stickers.

• Alex has 20 stickers and Jamie has 15 stickers.

A farmer has chickens and cows. If there are 20 animals in total and the number of chickens is twice the number of cows, 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 school, the number of boys is 3 times the number of girls. If there are 48 students in total, how many boys and girls are there?

• 36 boys and 12 girls

• 40 boys and 8 girls

• 24 boys and 24 girls

• 30 boys and 18 girls

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If a customer pays $35, how many miles did they drive?

• 50 miles

• 75 miles

• 120 miles

• 100 miles

A theater sells adult tickets for $12 and child tickets for $8. If 50 tickets were sold for a total of $480, how many adult and child tickets were sold?

• 20 adult tickets and 30 child tickets

• 15 adult tickets and 35 child tickets

• 25 adult tickets and 25 child tickets

• 10 adult tickets and 40 child tickets

In a fruit basket, there are apples and oranges. If there are 30 fruits in total and the number of apples is 4 more than twice the number of oranges, how many apples and oranges are there?

• 10 apples and 20 oranges

• 25 apples and 5 oranges

• 15 apples and 15 oranges

• 20 apples and 8 oranges

A bookstore sells novels for $10 each and magazines for $5 each. If a customer buys a total of 15 items and spends $100, how many novels and magazines did they buy?

• 3 novels and 12 magazines

• 7 novels and 8 magazines

• 10 novels and 5 magazines

• 5 novels and 10 magazines

A school is planning a field trip. The cost for each student is $15, and the total cost for 30 students is $450. If the school also pays a $150 bus fee, how many students are going on the trip?

• 50 students

• 35 students

• 25 students

• 40 students

A gardener has a total of 50 plants, consisting of roses and tulips. If the number of roses is 10 more than twice the number of tulips, how many roses and tulips does the gardener have?

• 15 roses and 35 tulips

• 40 roses and 10 tulips

• 30 roses and 20 tulips

• 25 roses and 25 tulips