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Andy bought 4 hamburgers snd 2 milkshakes for $13.50. Danny bought 3 hamburgers and 1 milkshake for $9.25. What cost of a hamburger and milkshake?

 Feb 10, 2020
 #1
avatar+109064 
+1

Let the cost of a hamburger = H

Let the cost of a milkshake be  = M

 

So   we have that

 

4H + 2M  = 1350

3H  + 1M  =  925

 

Multiply the second equation by - 2

 

4H + 2M  = 1350

-6H - 2M  = -1850        add these

 

-2H  =  -500       divide both sides by -2

 

H =  250    =    2.50

 

And  

 

3(250)  + M  =  925

750 + M  = 925

M =  175  =    1.75

 

 

cool cool cool

 Feb 10, 2020
 #2
avatar+12 
+2

(4H+2M)-(3H-1M)=1H AND 1M (SUBTRACT LIKE TERMS)

 

SUBTRACT PRICES: $13.50-$9.25=$4.25

 

1 HAMBURGER AND 1 MILKSHAKE IS $4.25.

 Feb 10, 2020

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