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Garett and Simon are buying dinner. Garrett purchases 2 hot dog meals and 1 hamburger meal, paying a total of $18. Simon buys 3 hot dog meals and 2 hamburger meals, spending $31 in all. How much do the meals cost?

 Jun 29, 2022
 #1
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Cost of hot dog meal  =  x

Cost of hamburger meal  = y

 

2x + 1y =  18     →    y  =   18 - 2x      (1)

3x  + 2y =  31     (2)

 

Sub (1) into (2)

 

3x + 2 ( 18 - 2x) =  31

 

3x + 36  - 4x  =  31

 

3x - 4x  =  31  - 36

 

-x =  -5

 

x = 5  = cost (in dollars)  of hot dog meal

 

Hamburger meal  costs   18 - 2(5) =   18 - 10  =  $8

 

cool cool cool

 Jun 29, 2022

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