Mrs. smith decides to buy three sweaters and a pair of jeans. she had $120 in her wallet. if the price of jeans is $35, what is the highest possible price (p) of a sweater, if each sweater, if each sweater is the same price? write, solve, and graph the inequality.

The highest possible price of a sweater is $28.33

Step-by-step explanation:

We already know that price of jeans is $35.Let's say Mrs.Smith buys 3 sweaters for dollars each, and since her budget is $120 we have the inequality:

Therefore

Thus the maximum price of a sweater is $28.33

Givens

Let's represents sweaters with x and jeans with y. The inequality that models this situation is

There you can observe the money restriction and the exact number per item she wants to buy.

To find the solution of this inequality, we have to draw the line , which represents the border of the solution area.

Then, we evaluate the inequality with a test point (0,0).

The image attached shows the result of this process. Notice that the solution area is below the line, beacuse (0,0) must be part of the solution area.

However, we already know that jeans costs $35, replacing it in the expression, we have

Therefore, the highest price possible of a sweater is $28.33.

(The second image attached shows this result)