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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​

User Submonoid
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1 Answer

4 votes

Answer:

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

User Nathan Tregillus
by
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