Question

Mr. Smith has a super-sized bag of Gummy Bears. He goes to eat from the bag of Gummy bears which has 300 Gummy Bears in it. Mr. Smith eats 20 Gummy Bears every 3 minutes. Write an equation to model the number of Gummy Bears in his bag.

Answer 1

`600-(20)/(3)\text{x}`

Explanation:

Given: Mr. Smith has a super-sized bag of Gummy Bears. He goes to eat from the bag of Gummy bears which has 300 Gummy Bears in it. Mr. Smith eats 20 Gummy Bears every 3 minutes.

To Do: Write an equation to model the number of Gummy Bears in his bag.

Solution: Total Number of Gummy bears in Mr. Smith's super-sized bag =
`300`

Number of Gummy bears eaten by Mr. Smith in every 3 minutes =
`20`

Number of Gummy bears eaten by Mr. Smith in every in minutes=
`(20)/(3)`

Now,

The number of Gummy bears in his bag after
`\text{x}` minutes is

=
`600-(20)/(3)\text{x}`

The equation for number of gummy bears in Mr. Smith's bag after
`\text{x}` minutes is

`600-(20)/(3)\text{x}`

Answer 2

`(20)/(3) x=300`

Explanation:

Given that the bag has 300 Gummy Bears and Mr.Smith eats 20 Gummy Bears every 3 minutes, then;

Lets assume x time taken to finish all Gummy Bears in the bag, then

Given in the question that

3 minutes =20 Gummy Bears

? minutes=300 gummy Bears

Perform cross-multiplication

`=(300*3)/(20) =45minutes`

This means after 45 minutes the bag of Gummy Bears will be empty.

The equation to model the number of Gummy Bears in the bag will be;

`(20)/(3) x=300`