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. (1 Point)

Answer 1

`y-(1)/(3)+y=1000`

x=499.83

y=500.16

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-(1)/(3)` (2)

Substituting (2) in (1):

`y-(1)/(3)+y=1000` (3) This is the equation

Let's find
`y`:

`y=(3001)/(6)=500.16` (4)

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

`x=500.16-(1)/(3)=499.83` (5)