Solving Real-World Equations: Isolate Variables & Evaluate

A store sells pencils for $2 each and erasers for $3 each. If you buy a total of 10 items and spend $24, how many pencils and erasers did you buy?

• 4 pencils and 6 erasers

• 5 pencils and 5 erasers

• 6 pencils and 4 erasers

• 7 pencils and 3 erasers

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

• Roses: 5, Tulips: 45

• Roses: 15, Tulips: 35

• Roses: 10, Tulips: 40

• Roses: 20, Tulips: 30

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If another company charges $20 plus $0.25 per mile, how many miles must you drive for the costs to be the same?

• 150 miles

• 200 miles

• 100 miles

• 250 miles

A school is selling tickets for a play. Adult tickets cost $12 and student tickets cost $8. If they sold a total of 100 tickets for $960, how many adult and student tickets were sold?

• 20 adult tickets and 80 student tickets

• 50 adult tickets and 50 student tickets

• 30 adult tickets and 70 student tickets

• 40 adult tickets and 60 student tickets

A baker makes two types of cookies: chocolate chip and oatmeal. If the total number of cookies is 80 and the number of chocolate chip cookies is 10 more than twice the number of oatmeal cookies, how many of each type did the baker make?

• Oatmeal: 30, Chocolate Chip: 20

• Oatmeal: 10, Chocolate Chip: 50

• Oatmeal: 20, Chocolate Chip: 40

• Oatmeal: 25, Chocolate Chip: 30

A swimming pool is being filled with water. The first hose can fill the pool in 6 hours, while the second hose can fill it in 4 hours. If both hoses are used together, how long will it take to fill the pool?

• 5 hours

• 3 hours

• 2.4 hours

• 1.5 hours

A phone company offers two plans. Plan A costs $40 per month plus $0.10 per text, while Plan B costs $30 per month plus $0.15 per text. For how many texts will the two plans cost the same?

• 250

• 150

• 200

• 300

A bookstore sells novels for $15 each and textbooks for $25 each. If a customer buys a total of 8 books and spends $150, how many novels and textbooks did they buy?

• 3 novels and 5 textbooks

• 5 novels and 3 textbooks

• 4 novels and 4 textbooks

• 6 novels and 2 textbooks

A fitness center charges a monthly fee of $50 plus $5 per class. Another center charges a flat fee of $70 with no class fees. For how many classes will the costs be the same?

• 6

• 2

• 10

• 4

A farmer has chickens and cows. If the total number of animals is 30 and the number of cows is 5 more than three times the number of chickens, how many chickens and cows does the farmer have?

• 3 chickens and 27 cows

• 5 chickens and 20 cows

• 8 chickens and 22 cows

• 10 chickens and 15 cows