Chef charles has already broken 14 eggs, and he's breaking eggs at a rate of 12 per minute. Chef louis has already broken 22 eggs, and he's breaking eggs at a rate of 10 per minute. How many minutes will it take for charles to have broken as many eggs as louis?
Let x be the number of minutes it will take for Charles to have broken as many eggs as Louis.
The total number of eggs broken by Charles after x minutes is 14 + 12x.
The total number of eggs broken by Louis after x minutes is 22 + 10x.
Setting these two expressions equal, we get:
14 + 12x = 22 + 10x
Subtracting 10x from both sides:
2x = 8
Dividing by 2:
x = 4
It will take 4 minutes for Charles to have broken as many eggs as Louis.