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You and a friend go to Taco Bell for Lunch. You order three soft tacos and three burritos and your bill totals out to $11.25. Your friend’s bill is $10.00 for four soft tacos and two burritos. How much do soft tacos cost? How much do burritos cost? 

Guest Jan 19, 2018
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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  is  $1.50  and a burrito is $2.50

 

 

cool cool cool

CPhill  Jan 19, 2018

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