Question

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.

Answer 1

Answer:

$y-\frac{1}{3}+y=1000$

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:

$x+y=1000$ (1)

The amount of Nerds left in the box: $y$  

The number of portions Mrs. Konings has taken: $x$  

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

$x=y-\frac{1}{3}$ (2)

Substituting (2) in (1):

$y-\frac{1}{3}+y=1000$ (3) This is the equation

Let's find $y$:

$y=\frac{3001}{6}=500.16$ (4)

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

$x=500.16-\frac{1}{3}=499.83$ (5)

Answer 2

Answer:

she's my math teacher haha

Step-by-step explanation: :)