Question

Manny wants to cover the windows in his home with either wood blinds or curtains. He has 35 windows that he would like to cover, but he only have $2100 to spend. Wood blinds cost $100 per window. Curtains cost $60 per window. Which system of inequality's represents the number of wood blinds, x, and curtains, y, Manny can purchase?

Answer 1

Answer:

$x + y \leq 35\\\\100x + 60y\leq2100\\\\x\geq 0\\\\y\geq 0$

Step-by-step explanation:

Call x the amount of blinds that Manny buys.

Let's call and the amount of curtains that Manny buys

There are only 35 windows, so the number of curtains and windows can not be greater than 35.

$x + y \leq 35\\x\geq 0\\y\geq 0$

Manny can only spend $ 2100

Then we can represent this by an inequality in the following way.

$100x \leq 2100$

and

$60y\leq 2100$

We can write this as a single inequality:

$100x +60y \leq2100$

Finally, the set of inequalities to model this problem is:

$x + y \leq 35\\\\100x + 60y\leq2100\\\\x\geq 0\\\\y\geq 0$