4.2. Word Problems using Equations with Variables on Both sides

L4.2 - Real Life Problems using Equations with Variables on Both Sides

Dropdown

Deanna and Lulu are playing games at the arcade. Deanna starts with $15, and the machine she is playing costs $0.75 per game. Lulu starts with $13, and her machine costs $0.50 per game. After how many games will the two friends have the same amount of money remaining? Let g represent the number of games.

Write an equation.



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Select answer

= ​ ​

Select answer

Math Response

Deanna and Lulu are playing games at the arcade. Deanna starts with $15, and the machine she is playing costs $0.75 per game. Lulu starts with $13, and her machine costs $0.50 per game. After how many games will the two friends have the same amount of money remaining? Let g represent the number of games.

Solve the equation.

Type answer here

Correct Answer: 8

Deg^°

Rad

Dropdown

A fish tank has 150 gallons of water and is being drained at a rate of 1/2 gallon each second. A second fish tank has 120 gallons of water and is being filled at a rate of 1/4 gallon each second. After how many seconds will the two fish tanks have the same amount of water?

Write an equation.



​

Select answer

= ​ ​

Select answer

Math Response

A fish tank has 150 gallons of water and is being drained at a rate of 1/2 gallon each second. A second fish tank has 120 gallons of water and is being filled at a rate of 1/4 gallon each second. After how many seconds will the two fish tanks have the same amount of water?

Solve the equation.

​ = ​ ​

Type answer here

Correct Answer: 40

Deg^°

Rad

Dropdown

Shipping Company A charges $14 plus $2.25 a pound to ship overnight packages. Shipping Company B charges $20 plus $1.50 a pound to ship an overnight package. For what weight is the charge the same for the two companies?

Write an equation.



​ ​

Select answer

​ = ​ ​ ​

Select answer

Math Response

Shipping Company A charges $14 plus $2.25 a pound to ship overnight packages. Shipping Company B charges $20 plus $1.50 a pound to ship an overnight package. For what weight is the charge the same for the two companies?

Solve the equation from the previous question.

​ ​ ​

Type answer here

Correct Answer: 8

Deg^°

Rad

Dropdown

A bicycle rental company charges a $20 fee plus $5.50 per hour to rent a bicycle. Another bicycle rental company charges a $15 fee plus $6.50 per hour to rent a bicycle. For what number of hours is the cost for the rental the same?

Write an equation.



​ ​ ​ ​

Select answer

= ​ ​

Select answer

​ ​

Math Response

A bicycle rental company charges a $20 fee plus $5.50 per hour to rent a bicycle. Another bicycle rental company charges a $15 fee plus $6.50 per hour to rent a bicycle. For what number of hours is the cost for the rental the same?

Solve the equation from the previous question.

​ ​ ​

Type answer here

Correct Answer: 5

Deg^°

Rad

Dropdown

Sarah and John are saving money to buy a new video game console. Sarah has saved $40 so far and plans to save $10 each week. John, who hasn’t saved anything yet, plans to save $15 each week. After how many weeks will they have the same amount saved?

Write an equation.



​ ​ ​ ​

Select answer

= ​ ​

Select answer

​ ​

Math Response

Sarah and John are saving money to buy a new video game console. Sarah has saved $40 so far and plans to save $10 each week. John, who hasn’t saved anything yet, plans to save $15 each week. After how many weeks will they have the same amount saved?

Solve the equation.

Type answer here

Correct Answer: 8

Deg^°

Rad

Dropdown

A cell phone plan charges $30 per month and $0.10 per text message. Another plan charges $15 per month and $0.25 per text message. How many text messages would you need to send in a month for the two plans to cost the same?

Write an equation.



​ ​ ​ ​

Select answer

= ​ ​

Select answer

​ ​

Math Response

Sarah and John are saving money to buy a new video game console. Sarah has saved $40 so far and plans to save $10 each week. John, who hasn’t saved anything yet, plans to save $15 each week. After how many weeks will they have the same amount saved?

Solve equation.

Type answer here

Correct Answer: 100

Deg^°

Rad

​Write and solve an equation.
Marko has 45 comic books in his collection, and Tamara has 61 comic books. Marko buys 4 new comic books each month and Tamara buys 2 comic books each month. After how many months will Marko and Tamara have the same number of comic books?