Mrs. konings likes to eat nerds (the candy, not her people). there are 1,000 nerds in the box. the amount of nerds left in the box decreases by a third each time she dumps out a portion. let x represent the number of portions mrs. konings has taken and y represent the number of nerds left in the box. write an equation that represents the solution.

x=499.83

y=500.16

Step-by-step explanation:

We can solve this problem with a system of equations:

The total quantity of Nerds in the box:

(1)

The amount of Nerds left in the box:  

The number of portions Mrs. Konings has taken:  

The amount of Nerds left in the box decreases by a third each time she dumps out a portion:

(2)

Substituting (2) in (1):

(3) This is the equation

Let's find :

(4)

Now let's find by substituting (4) in (2):

(5)

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17