Avendor sells hot dogs and bags of potato chips. a customer buys 3 hot dogs and 3 bags of chips for $10.50. another customer buys 2 hot dogs and 4 bags of chips for $9.50. find the cost of a hot dog

Solution:

Let's us suppose the cost of 1 hot dog is x and the cost of 1 potato chip is y.

Now if we multiply equation 1 by 2 and equation2 by 3, and subtract equation 1 from second we have:

Equation 1 will become :

6x+6y=21

Equation 2 will become:

6x+12y=28.5

Now subtracting above two, we have:

6x+12y=28.5

6x+6y=21

6y=7.5

y=1.25

Now lets us substitute the value of y=1.25 in equation 1:

then we have:

3x+3(1.25)=10.5

x=2.25

Therefore the cost of a hot dog is $2.25

21/58.

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the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights