At a concession stand five hot dogs and four hamburgers cost $12 for hot dogs and five hamburgers cost 1275 the cause of one hot dog in the cost of one hamburger

The cost of one hot dog $1 and the cost of one hamburger is $1.75.

Step-by-step explanation:

Given:

At a concession stand five hot dogs and four hamburgers cost $12.

Four hot dogs and five hamburgers cost $12.75.

Now, to find the cost of one hot dog and the cost of one hamburger.

Let the cost of one hot dog be

And let the cost of one hamburger be

So, the cost of five hot dogs and four hamburgers:

Dividing both sides by 4 we get:

  .......(1)

And, the cost of four hot dogs and five hamburgers:

Substituting the value of from equation (1):

Subtracting both sides by 15 we get:

Multiplying both sides by 4 we get:

Dividing both sides by -9 we get:

The cost of one hot dog  = $1.

Now, substituting the value of in equation (1):

The cost of one hamburger = $1.75.

Therefore, the cost of one hot dog $1 and the cost of one hamburger is $1.75.

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt