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Heather and sarah families went to wendys for lunch,and each brought junior bacon cheeseburgers and fries.Heater' s family bought 6 junior bacon cheeseburgers and 4 orders of large fries,and the total before tax was 12.50.Sarah family only bought 3 junior bacon cheeseburgers,but 7 large orders of fries,and their total before tax was 13.70. How much did wendys charge for a junior bacon cheeseburger before tax?

Sagot :

boffeemadrid

Answer:

[tex]\$1.09[/tex]

Step-by-step explanation:

All the costs mentioned here are before tax

Let cost of junior bacon cheese burger be [tex]x[/tex]

Cost of large fries be [tex]y[/tex]

Heather's order cost 12.50

[tex]6x+4y=12.5\quad\ldots (i)[/tex]

Sarah's order cost 13.70

[tex]3x+7y=13.7\quad\ldots (ii)[/tex]

Multiply [tex](ii)[/tex] by [tex]2[/tex]

[tex]6x+4y=12.5[/tex]

[tex]6x+14y=27.4[/tex]

Subtracting the equations we get

[tex]-10y=-14.9\\\Rightarrow y=\dfrac{14.9}{10}\\\Rightarrow y=1.49[/tex]

Cost of large fries is [tex]\$1.49[/tex]

[tex]6x+4y=12.5\\\Rightarrow x=\dfrac{12.5-4y}{6}\\\Rightarrow x=\dfrac{12.5-4\times 1.49}{6}\\\Rightarrow x=1.09[/tex]

Cost of junior bacon cheeseburger before tax is [tex]\$1.09[/tex].

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