Question

Eula needs to buy binders that cost $4 each and notebooks that cost $2 each. She has $20. The graph of the inequality 4x + 2y ≤ 20, which represents the situation, is shown. What is the greatest number of binders Eula can buy?

Answer 1

She has to buy both binders and notebooks. So, you have to take into account that she has to have both. The closest you can get to $20 while still getting notebooks, is to buy 4 binders. 4 times 4 equals 16. So, she can get 4 binders and 2 notebooks, because then, 2 times 2 equals 4 and 16 plus 4 equals 20.

Answer 2

Answer:

The gratest number of binders that Eula could buy are 5 binders.

Step-by-step explanation:

Take into account that the inequality the variable x represent binders and the variable y notebooks.For doing this we will solve the inequality for x:

4x+2y ≤ 20  

4x ≤ 20 -2y  

x ≤ (20 -2y)/4

Now we try with any couple of integer value for y that satisfy the equation. Since we must find out the greater amount of binders Eula could buy then we can try first without notebooks:

x ≤ (20 -2.0)/4

x ≤ 20/4

x ≤ 5

As 5 is an integer and x can take this value, we say that 5 is a possible numbers of binders to buy.