Question
Joe currently has 18 rocks in her collection and gains 4 each week. Louis currently has 30 rocks in his collection and gains three each week how many rocks with Joe and Lewis have when the amount of rocks in their collection is equal
Answers
Answered by
GPT 3.5
We can set up the equation: 18 + 4w = 30 + 3w, where w represents the number of weeks.
Subtract 3w from both sides: 18 + w = 30.
Subtract 18 from both sides: w = 12.
Therefore, Joe and Louis will have the same number of rocks after 12 weeks.
To calculate the total number of rocks, we can substitute w with 12 in either equation.
Joe will have 18 + 4(12) = 18 + 48 = 66 rocks.
Louis will have 30 + 3(12) = 30 + 36 = 66 rocks.
Therefore, Joe and Louis will each have 66 rocks when the amount of rocks in their collection is equal.
Subtract 3w from both sides: 18 + w = 30.
Subtract 18 from both sides: w = 12.
Therefore, Joe and Louis will have the same number of rocks after 12 weeks.
To calculate the total number of rocks, we can substitute w with 12 in either equation.
Joe will have 18 + 4(12) = 18 + 48 = 66 rocks.
Louis will have 30 + 3(12) = 30 + 36 = 66 rocks.
Therefore, Joe and Louis will each have 66 rocks when the amount of rocks in their collection is equal.