175k views
5 votes
Jorge has already eaten 8

cookies; he eats 2 'cookies per minute.
Emmanuel has not eaten any but
starts to eat 4 cookies per minute.
When will they have eaten the same amount?
How many cookies will they each have eaten?​

2 Answers

6 votes

Answer:

They would have eaten the same amount in 4 minutes

They wuld have eaten 16 cookies in 4 minutes

Step-by-step explanation:

To solve this probem lets turn Jorge and Emmanuel into an equation

Let m= minutes

Jorger = 2 cookies per minute = 2m

He has eaten 8 cookies already so lets add 2m to 8 = 2m+ 8

Emmanuel on the have eats 4 cookies per minute = 4m

Jorge = 2m+ 8 =total number of cookies eaten in m minutes

Emmanuel = 4m =total number of cookies eaten in m minutes

To know both when the would have eaten the samd amount and the amount of cookies they have eaten the equation must be equal to each other

2m+8 = 4m

Lets solve like terms together

We need to remove 2m from both sides

2m+8-2m = 4m-2m

8 = 2m

Making m the subject of the equation by dividing each side by 2

8/2 =2m/2

4=m

So m=4

Back to jorge and emmanuel equation since m is 4 meaning m is 4 minutes

2m+8 = 2×4+8= 16

4m =4×4 =16

They have eaten 16 cookies each in 4 minutes

User Gwell
by
3.6k points
2 votes

Answer: They will have eaten the same amount when 4 minutes passed.

Each one will eat 16 cookies.

Step-by-step explanation:

Hi to answer this question we have to write an equation for the number of cookies that each one eats:

  • Jorge = 2m +8

Where m = minutes

  • Emmanuel = 4 m

If they eat the same amount:

2 m +8 = 4 m

8= 4m -m

8 = 2m

8/2 = m

4 =m

They will have eaten the same amount when 4 minutes passed.

To know the number of cookies eaten.

Jorge = 2m +8 = 2 (4) +8 =16

Emmanuel = 4 m = 4(4) = 16

Each one will eat 16 cookies.

User MuneebShabbir
by
3.3k points