Solving Systems of Equations: Real-World Problems

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?

• 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. Together, they have 35 stickers. How many stickers does each friend have?

• Alex has 20 stickers and Jamie has 15 stickers.

• 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.

A gardener is planting flowers and shrubs. The total number of plants is 20, and the number of flowers is twice the number of shrubs. How many flowers and shrubs are there?

• 10 flowers and 5 shrubs

• 10 flowers and 10 shrubs

• 15 flowers and 5 shrubs

• 8 flowers and 12 shrubs

In a school, the number of boys is 4 more than twice the number of girls. If there are 28 students in total, how many boys and girls are there?

• 20 boys and 8 girls

• 18 boys and 10 girls

• 22 boys and 6 girls

• 16 boys and 12 girls

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50, how many miles did they drive?

• 75 miles

• 120 miles

• 50 miles

• 100 miles

Maria has a collection of coins. She has twice as many dimes as nickels, and the total value of her coins is $3.00. How many dimes and nickels does she have?

• 12 nickels and 24 dimes

• 10 nickels and 20 dimes

• 15 nickels and 30 dimes

• 8 nickels and 16 dimes

A bakery sells muffins for $2 each and cookies for $1.50 each. If a customer buys 12 items for a total of $20, how many muffins and cookies did they buy?

• 3 muffins and 9 cookies

• 4 muffins and 8 cookies

• 5 muffins and 7 cookies

• 6 muffins and 6 cookies

In a class, the number of boys is 3 less than three times the number of girls. If there are 24 students in total, how many boys and girls are there?

• Boys: 12, Girls: 12

• Boys: 15, Girls: 9

• Boys: 18, Girls: 6

• Boys: 10, Girls: 14

A pet store has cats and dogs. The number of cats is 3 more than the number of dogs. If there are 27 animals in total, how many cats and dogs are there?

• 14 dogs and 13 cats

• 12 dogs and 15 cats

• 9 dogs and 18 cats

• 10 dogs and 17 cats

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

• 30 adult tickets and 20 student tickets

• 35 adult tickets and 15 student tickets

• 25 adult tickets and 25 student tickets

• 40 adult tickets and 10 student tickets