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I need help with this question please (just question 10, not the one below)

I Need Help With This Question Please Just Question 10 Not The One Below class=

Sagot :

Let the cost of each packet of cheese is $x

Let the cost of each burger $y

Calvin bought 5 packets of cheese and 3 burgers for $29.99

Mathematically we can write

[tex]5x+3y=29.99\text{ ..(1)}[/tex]

Alex bought 3 packets of cheese and 7 burgers for $32.71

Mathematically we can write

[tex]3x+7y=32.71\text{ ..(2)}[/tex]

Now we have to solve equations (1) and (2) for x and y

Now 7*(1)-3*(2) implies

[tex]7\times(1)-3\times(2)\Rightarrow35x+21y-9x-21x=209.93-98.13\Rightarrow26x=111.8\Rightarrow x=\frac{111.8}{26}\Rightarrow x=4.30[/tex]

Hence the price of each packets of cheese is $4.30

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