Name________________________

                                         SYSTEM OF EQUATIONS-WORD PROBLEMS #1—KEY

Directions:  Find the answers to each situation below by setting up and solving a system of equations.  

1)	Jacob bought some tickets to see his favorite singer.  He bought some adult tickets and some children’s tickets, for a total of 9 tickets.  The adult tickets cost $10 per ticket, and the children’s tickets cost $8 per ticket.  If he spent a total of $76, then how many adult and children’s tickets did he buy?
    a +   c =   9											     a =    6    	
10a + 8c = 76											    
     b =    2    	
	
2)	Sophia’s school took a field trip.  A total of 21 vehicles were needed for the trip.  Some students took the bus, and some students car-pooled.  There were 30 people on each bus and 4 people in each car.  318 people altogether attended the trip.  How many buses and cars were needed for the trip?
    													     b =    9    	
													    
     c =    12   	

3)	Ethan’s football team scored a total of 35 separate times this season, with a mix of touchdowns and field goals.  Each touchdown is worth 7 points, and each field goal is worth 3 points.  If the team scored a total of 193 points this season, how many touchdowns and field goals did they score?
    													     t =   22    	
													     
     f =   13    	

4)	Emma went to the movie theater for her birthday.  A mix of adults and children attended, making a total of 19 people.  Each adult ticket was $9 and each child’s ticket was $5.50.  If the total cost for the party was $150, then how many adults and how many children attended?
    													     a =   13    	
													     
     c =     6    	

5)	Noah’s class held a food drive for the holidays.  There are a total of 25 students in his class.  On average, each boy and each girl brought in 3 cans of food apiece.  If the class brought in a total of 75 cans of food, how many boys and how many girls are in the class?
    													     b =    9    	
													     
     g =   16    	

6)	Olivia’s family drove to Disney Land for spring break.  Her mom and dad shared the driving duties for a total of 14 hours.  Her mom drove 65 miles per hour, and her dad drove 60 miles per hour.  If they drove a total of 895 miles, how many hours did each person drive for?
    													     m =   11    	
													     
 	     d =     3    	    

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