At the taco stand, the cost for 2 burritos and 1 tortilla salad is $20.57. The cost for

Mathematics

1 answer:

eduard3 years ago

3 0

One burrito salad costs $8.49 and one tortilla salad costs $3.59

Step-by-step explanation:

Let,

x be the cost of one burrito

y be the cost of one tortilla

According to given statement;

2x+y=20.57 Eqn 1

3x+3y=36.24 Eqn 2

Multiplying Eqn 1 by 3

$3(2x+y=20.57)\\6x+3y=61.71\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(6x+3y)-(3x+3y)=61.71-36.24\\6x+3y-3x-3y=25.47\\3x=25.47$

Dividing both sides by 3

$\frac{3x}{3}=\frac{25.47}{3}\\x=8.49$

Putting x=8.49 in Eqn 1

$2(8.49)+y=20.57\\16.98+y=20.57\\y=20.57-16.98\\y=3.59$

One burrito salad costs $8.49 and one tortilla salad costs $3.59

Keywords: linear equations, subtraction

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