Solving Real-World Equations with Variables on Both Sides

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

• 5 pencils and 3 erasers

• 2 pencils and 6 erasers

• 4 pencils and 4 erasers

• 3 pencils and 5 erasers

A gardener has two types of plants. He has 5 more rose plants than tulip plants. If the total number of plants is 35, how many of each type does he have?

• 10 tulip plants and 25 rose plants

• 15 tulip plants and 20 rose plants

• 5 tulip plants and 30 rose plants

• 20 tulip plants and 15 rose plants

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Another company charges $30 plus $0.25 per mile. How many miles would you need to drive for the costs to be the same?

• 400 miles

• 300 miles

• 200 miles

• 500 miles

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $10 a week, while Jamie saves $15 a week. If Alex has $20 more than Jamie after a certain number of weeks, how many weeks have they been saving?

• 4 weeks

• 8 weeks

• 2 weeks

• 6 weeks

A baker makes cookies and brownies. Each cookie costs $1 and each brownie costs $2. If the total cost of 10 cookies and brownies is $16, how many cookies and brownies did the baker make?

• 5 cookies and 5 brownies

• 2 cookies and 8 brownies

• 3 cookies and 7 brownies

• 4 cookies and 6 brownies

A school is selling tickets for a play. Adult tickets are $8 each and student tickets are $5 each. If they sold a total of 50 tickets and made $320, how many adult and student tickets were sold?

• 10 adult tickets and 40 student tickets

• 15 adult tickets and 35 student tickets

• 20 adult tickets and 30 student tickets

• 25 adult tickets and 25 student tickets

A pool can be filled by two hoses. Hose A can fill the pool in 4 hours, while Hose B can fill it in 6 hours. If both hoses are used together, how long will it take to fill the pool?

• 1.5 hours

• 5 hours

• 2.4 hours

• 3 hours

A bookstore sells novels for $12 each and textbooks for $20 each. If a customer buys a total of 10 books and spends $180, how many novels and textbooks did they buy?

• 3 novels and 7 textbooks

• 2 novels and 8 textbooks

• 5 novels and 5 textbooks

• 4 novels and 6 textbooks

A bike shop sells mountain bikes for $300 and road bikes for $400. If a customer buys a total of 5 bikes and spends $1,600, how many of each type did they buy?

• 3 mountain bikes and 2 road bikes

• 2 mountain bikes and 3 road bikes

• 5 road bikes and 0 mountain bikes

• 4 mountain bikes and 1 road bike

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

• 15 chickens and 15 cows

• 25 chickens and 5 cows

• 20 chickens and 10 cows

• 10 chickens and 20 cows