Translate Real-Life Scenarios into Equations for Grade 8

A farmer has a total of 100 apples and oranges. If he has 30 more apples than oranges, how many of each fruit does he have? Identify the variables and write the equations.

• Apples: 70, Oranges: 30

• Apples: 50, Oranges: 50

• Apples: 60, Oranges: 40

• Apples: 65, Oranges: 35

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $5 each week, while Jamie saves $8 each week. If they both want to save $100, how many weeks will it take for each of them? Identify the variables and write the equations.

• Alex: 25 weeks, Jamie: 20 weeks

• Alex: 30 weeks, Jamie: 15 weeks

• Alex: 20 weeks, Jamie: 13 weeks

• Alex: 15 weeks, Jamie: 10 weeks

A school is planning a field trip. The cost per student is $15 for transportation and $10 for admission. If the school has a budget of $600, how many students can go on the trip? Identify the variables and write the equations.

• 20

• 30

• 18

• 24

A store sells pencils for $0.50 each and erasers for $1.00 each. If a student buys a total of 20 items and spends $12, how many pencils and erasers did the student buy? Identify the variables and write the equations.

• 18 pencils and 2 erasers

• 14 pencils and 6 erasers

• 10 pencils and 10 erasers

• 16 pencils and 4 erasers

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer has a budget of $100, how many miles can they drive? Identify the variables and write the equations.

• 200 miles

• 300 miles

• 150 miles

• 250 miles

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? Identify the variables and write the equations.

• 12 boys and 12 girls

• 20 boys and 4 girls

• 10 boys and 14 girls

• There are 16 boys and 8 girls.

A bakery sells muffins for $2 each and cookies for $1.50 each. If a customer buys a total of 10 items and spends $15, how many muffins and cookies did they buy? Identify the variables and write the equations.

• 3 muffins and 7 cookies

• 5 muffins and 5 cookies

• 0 muffins and 10 cookies

• 2 muffins and 8 cookies

A gym charges a monthly fee of $30 plus $5 for each class attended. If a member wants to spend no more than $100 in a month, how many classes can they attend? Identify the variables and write the equations.

• 14

• 10

• 16

• 12

A local theater sells tickets for $12 for adults and $8 for children. If they sold a total of 50 tickets and made $480, how many adult and child tickets were sold? Identify the variables and write the equations.

• 25 adult tickets and 25 child tickets were sold.

• 20 adult tickets and 30 child tickets were sold.

• 10 adult tickets and 40 child tickets were sold.

• 15 adult tickets and 35 child tickets were sold.

A gardener is planting flowers and vegetables. If he plants 3 times as many flowers as vegetables and has a total of 40 plants, how many flowers and vegetables did he plant? Identify the variables and write the equations.

• 15 flowers and 25 vegetables

• 30 flowers and 10 vegetables

• 20 flowers and 20 vegetables

• 25 flowers and 15 vegetables