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You and a friend go to surf taco for lunch. you order 3 soft tacos and 2 burritos and your total bill is 25. Your friend bill is 30 for 5 soft tacos and 2 burritos. How much do soft tacos cost? 3x+2y=25 4x+2y=30 X-soft tacos y-burritos​

Sagot :

miskdamdoum

Answer:

Step-by-step explanation:

Let the cost of one soft taco = s

Let the cost of one burrito  = b

 

So  we have this system

 

3s  + 3b  = 11.25  

4s +  2b   = 10.00   (1)

 

Divide  the first equation through by 3   and we have that

 

s +  b  =  3.75         subtract  b from both sides

s   =  3.75 - b   (2)

 

Sub  (2) into (1)  and we have

 

4 (3.75 - b)  +  2b  =  10.00      simplify

15 - 4b  + 2b   = 10.00

-2b + 15  =10.00      subtract 15 from both sides

-2b  =  - 5.00         divide both sides by -2

b  = 2.50

 

And using (2)

s  =  3.75 - 2.50   =   1.50

 

 

So...  a soft taco  1.50 and a burrito is  2.50

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