Equations Variables Both Sides Word Problems

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value? 

• 15x + 2.5 = 10x + 3
• 15 - 2.5x = 10 - 3x
• 15 + 2.5x = 10 + 3x
• 15 - 10 = 2.5x + 3x

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal? 

• 150x + 24 = 180 + 20x
• 150 + 24x = 180 + 20x
• 180 - 150 = 24 x + 20x
• 150 - 24x = 180 - 20x

Mary has been offered two jobs. Job A has a starting salary of $36,000 and a raise of $1500 every year. Job B has a starting salary of $29,000 and a raise of $2500 every year. Write an equation to determine how many years would Mary's salary be the same at both companies. 

• 36,000x + 1,500 = 29,000x + 2,500
• 36,000 - 29,000 = 1,500x + 2,500x
• 36,000 - 1,500x = 29,000 - 2,500x
• 36,000 + 1,500x = 29,000 + 2,500x

Jazmine joined a music club.  The start up fee was $10.00.  Each song she downloads is $0.99.  If she spent a total of $15.94, how many songs did she download?

• $10.00 + $0.99m = $15.94
• $10.00m + $0.99 = $15.94
• $10.00/$0.99m = $15.94
• $10.00 - $0.99m = $15.94

Cadin rents a bouncy house for a birthday party.  It costs $30.00 plus $4.00 per hour.  If he spends a total of $78.00, how many hours did he keep the bouncy house?

• $30.00 - $78.00 = $4.00h
• $78.00 + $30.00 = $4.00h
• $30.00 + $4.00h = $78.00
• $30.00 - $4.00h = $78.00

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies? 

• 2 miles 
• 4 miles
• .50 mile
• -4 miles