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
[tex]3(2x+y=20.57)\\6x+3y=61.71\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 2 from Eqn 3
[tex](6x+3y)-(3x+3y)=61.71-36.24\\6x+3y-3x-3y=25.47\\3x=25.47[/tex]
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{25.47}{3}\\x=8.49[/tex]
Putting x=8.49 in Eqn 1
[tex]2(8.49)+y=20.57\\16.98+y=20.57\\y=20.57-16.98\\y=3.59[/tex]
One burrito salad costs $8.49 and one tortilla salad costs $3.59
Keywords: linear equations, subtraction
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