Name________________________

                                         SYSTEM OF EQUATIONS-WORD PROBLEMS #4—KEY

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

1)	Daniel bought hamburgers and fries for each of his classmates.  The hamburgers cost $1.49 each, and a bag of fries cost $1.19.  Ben spent at total of $50.90.  The number of hamburgers was five less than twice the amount of fries.  How many hamburgers and how many bags of fries did he buy? 
									  				     h =    23    	
           1.49h + 1.19f = 50.90
       h = 2f - 5											     f =     14    	

2)	Madison works two part-time jobs, one before school and one after school.  Before school, she earns $11.50/hour, and after school she earns $11..75/hour.  Last week, she earned a total of $262.50.  She works twice as many hours after school.  How many hours did she work at each job last week?
    													     b =  7.5     	
													    
     a =   15     	

3)	Joshua has only dimes and pennies in his piggy bank.  He has a total of $23.00 in his bank.  The amount of pennies is twenty more than ten times the amount of dimes.  How many dimes and pennies are there?
    													     d =   114   	
													     
     p = 1160    	

4)	In a half-time skills contest Maria received $10 for each free throw she hit and lost $3 for each miss.  She earned a total of $142.  The amount of free throws she made was eight less than four times the amount she missed.  How many of each did she make?
    													     h =   16    	
													     
     m =    6    	

5)	Alex bought some gum for 15 cents each and some candy for $0.25 each.  The amount of candy was 10 less than five times the amount of gum.  He spent a total of $4.50.  How much of each did he buy?
    													     g =    5    	
													     
     c =   15    	

6)	The perimeter of a rectangle is 58 cm.  The length of the rectangle is four centimeters less than three times the size of the width.  What is the length and width of the rectangle?
    													     L= 20.75  	
													     
 	     W = 8.25    	    

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