Question

Dominik and Brian have a pie eating contest. After the first 2 minutes, Dominik has consumed 6 pies and Brian has consumed only 5 pies. From that point on, Dominik eats 2 pies each minute while Brian eats 3 pies per minute. After how many minutes, m, will Brian have eaten more pies than Dominik?

Answer 1

After 1 minute, Brian will have eaten more pies than Dominik.

Step-by-step explanation:

To find out when Brian will have eaten more pies than Dominik, we need to set up an equation based on their eating rates. After 2 minutes, Dominik has consumed 6 pies, which means he eats 6/2 = 3 pies per minute. Brian, on the other hand, has consumed 5 pies in 2 minutes, so he eats 5/2 = 2.5 pies per minute.

We can set up an inequality to represent the situation: 6 + 2x < 5 + 3x, where x is the number of minutes after the initial 2 minutes. Solving this inequality will give us the number of minutes at which Brian will have eaten more pies than Dominik.

6 + 2x < 5 + 3x
6 - 5 < 3x - 2x
1 < x

So, after 1 minute, Brian will have eaten more pies than Dominik.