At a concession stand, seven hot dogs and two hamburgers cost 14.50, two hot dogs and seven hamburgers cost 17.00. Find the cost of one hot dog and the cost of one hamburger

Given:

Seven hot dogs and two hamburgers cost 14.50

Two hot dogs and seven hamburgers cost 17.00.

To find:

The cost of one hot dog and the cost of one hamburger.

Solution:

Let the cost of one hot dog be x and the cost of one hamburger be y.

According to the question,

      ...(i)

      ...(ii)

Multiply (i) by 7.

      ...(iii)

Multiply (ii) by 2.

      ...(iv)

Subtract (iv) from (iii).

Divide both sides by 45.

Put x=1.5 in (i).

Divide both sides by 2.

Therefore, the cost of one hot dog is 1.5 and the cost of one hamburger is 2.

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: