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At a concession, five hot dogs and two hamburgers cost $12.00; two hot dogs and five hamburgers cost $14.25. Find the cost of one hot hot dog and the cost of one hamburger.

 Apr 1, 2020
 #2
avatar+210 
0

Notice that there's a bit of symmetry in this problem you can use to your advantage. Trying adding the two equations together!

 Apr 1, 2020
 #3
avatar+23562 
+1

 I think I answered this one before...or a VERY similar one  cheeky

 

5 d  +  2 h = 1200    Multiply THIS equation by - 2.5 and add to the next equation to get the third equation

2 d  +  5 h = 1425 

-10.5 d  = 1575

d = 150    or  $ 1.50     use this value for 'd' to sub into one of the equations to compute  h    

 Apr 1, 2020
 #4
avatar+210 
+1

I think there's an easier way. If you add the two equations together and divide by 7 you'll get the answer.

Impasta  Apr 1, 2020
 #5
avatar+109518 
+1

Hi Impasta,

That would give you the combined cost but it would not give you the cost of each one individually.

Melody  Apr 3, 2020

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