Substitution Success: Solve Real-World Systems

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

• 7 pencils and 3 erasers

• 5 pencils and 5 erasers

• 6 pencils and 4 erasers

Maria has twice as many dimes as nickels. If the total value of her coins is $3.00, how many dimes and nickels does she have?

• 15 nickels and 30 dimes

• 10 nickels and 20 dimes

• 12 nickels and 24 dimes

• 8 nickels and 16 dimes

A farmer has chickens and cows. If there are 20 animals in total and the total number of legs is 56, how many chickens and cows are there?

• 5 chickens and 15 cows

• 12 chickens and 8 cows

• 15 chickens and 5 cows

• 10 chickens and 10 cows

In a class, the number of boys is 3 more than twice the number of girls. If there are 27 students in total, how many boys and girls are in the class?

• 15 boys and 12 girls

• 10 boys and 17 girls

• 22 boys and 5 girls

• 19 boys and 8 girls

A concert hall has two types of tickets: adult tickets for $15 and child tickets for $10. If 200 tickets were sold for a total of $2,500, how many adult and child tickets were sold?

• 200 adult tickets and 0 child tickets were sold.

• 120 adult tickets and 80 child tickets were sold.

• 150 adult tickets and 50 child tickets were sold.

• 100 adult tickets and 100 child tickets were sold.

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 much sugar will you need?

• 24 cups of sugar

• 6 cups of sugar

• 12 cups of sugar

• 18 cups of sugar

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

• 50 miles

• 100 miles

• 75 miles

• 120 miles

In a school, the number of students in the band is 5 less than three times the number of students in the choir. If there are 50 students in total, how many are in the band and how many are in the choir?

• Band: 35, Choir: 15

• Band: 30, Choir: 20

• Band: 40, Choir: 15

• Band: 45, Choir: 5

A gardener is planting flowers and shrubs. If the total number of plants is 30 and the number of flowers is 4 more than twice the number of shrubs, how many flowers and shrubs are there?

• 15 flowers and 15 shrubs

• 20 flowers and 8 shrubs

• 10 flowers and 20 shrubs

• 25 flowers and 5 shrubs

A bookstore sells novels for $12 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?

• 5 novels and 10 magazines

• 0 novels and 15 magazines

• 7 novels and 8 magazines

• 3 novels and 12 magazines