Question

Elise drinks 2 cups of water per hour on Friday. At a certain time, she has already had 4 cups of water. On Friday, Jacob drinks 3 cups of water per hour, and at the same time of day, he has only had 2 cups of water for the day. 
Write a system of equations that can be used to determine when Elise and Jacob will have drank an equal amount of water after drinking water for the same number of hours after 10:00 am. 

How many hours will it take for Elise and Jacob to drink an equal amount of water? ​

Answer 1

By finding and solving a system of equations, we will see that after 2 hours they will drink the same amount of water.

How to write and solve the system of equations?

For Elise, the number of cups consumed after the 10:00 am is:

y = 2*x + 4

Where x is the number of hours after 10:00 am.

For Jacob, the number is:

J = 3*x + 2

Then the system of equations is:

y = 2x + 4

y = 3x + 2

To solve it, we use the fact that the variable y is already isolated in both equations, so we can write:

2x + 4 = y = 3x + 2

2x + 4 = 3x + 2

Solving for x we get:

4 - 2 = 3x - 2x

2 = x

After 2 hours, Elise and Jacob drink the same amount of water.

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904