Mastering Substitution: Solve Linear Equations in Context

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?

• 6 pencils and 4 erasers

• 5 pencils and 5 erasers

• 7 pencils and 3 erasers

• 4 pencils and 6 erasers

A farmer has chickens and cows. If the total number of animals is 30 and the total number of legs is 100, how many chickens and cows does the farmer have?

• 5 chickens and 25 cows

• 20 chickens and 10 cows

• 10 chickens and 20 cows

• 15 chickens and 15 cows

In a class, the number of boys is twice the number of girls. If there are 24 students in total, how many boys and girls are there?

• 10 boys and 14 girls

• 16 boys and 8 girls

• 12 boys and 12 girls

• 20 boys and 4 girls

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?

• 18 cups of sugar

• 12 cups of sugar

• 15 cups of sugar

• 10 cups of sugar

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?

• 75 miles

• 50 miles

• 100 miles

• 120 miles

Two numbers add up to 50. If one number is 3 times the other, what are the two numbers?

• 10 and 40

• 20 and 30

• 12.5 and 37.5

• 15 and 35

A concert hall has 200 seats. If the number of VIP seats is 3 times the number of regular seats, how many VIP and regular seats are there?

• 100 regular seats and 100 VIP seats

• 75 regular seats and 125 VIP seats

• 50 regular seats and 150 VIP seats

• 30 regular seats and 170 VIP seats

A gardener has a total of 50 plants, consisting of roses and tulips. If the number of roses is 5 more than twice the number of tulips, how many roses and tulips does the gardener have?

• Roses: 35, Tulips: 15

• Roses: 40, Tulips: 10

• Roses: 25, Tulips: 25

• Roses: 30, Tulips: 20

A school is planning a field trip. If the cost per student is $15 and the total cost for 30 students is $450, how much is the total cost for the trip if 50 students attend?

• $900

• $600

• $750

• $300

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?

• 5 novels and 10 magazines

• 10 novels and 5 magazines

• 3 novels and 12 magazines

• 7 novels and 8 magazines