Joe currently has 18 rocks in her collection and gains for each week. Louis currently has 30 wants in his collection and gains three each week after how many weeks with y’all and Louis have the same number of rocks in her collection
Let's calculate the number of weeks it will take for Joe and Louis to have the same number of rocks in their collections.
Joe starts with 18 rocks and gains Y rocks every week.
Louis starts with 30 rocks and gains 3 rocks every week.
For Joe and Louis to have the same number of rocks, we need to find the number of weeks it takes for their collections to be equal.
Let's represent this number of weeks as 'w'.
Joe's total number of rocks after 'w' weeks will be: 18 + wY
Louis's total number of rocks after 'w' weeks will be: 30 + 3w
For Joe and Louis to have the same number of rocks:
18 + wY = 30 + 3w
Simplifying the equation:
wY - 3w = 30 - 18
w(Y - 3) = 12
w = 12 / (Y - 3)
The number of weeks it will take for Joe and Louis to have the same number of rocks will be given by 12 divided by (Y - 3).
Note: The value of 'Y' representing Joe's weekly gain is not provided in the question, so we need to know that in order to calculate the number of weeks accurately.
To find out after how many weeks Joe and Louis will have the same number of rocks in their collections, we need to set up an equation and solve for the number of weeks.
Let's denote the number of weeks as "w".
Joe currently has 18 rocks in her collection and gains "w" rocks each week, so the number of rocks in her collection after "w" weeks will be 18 + w.
Louis currently has 30 rocks in his collection and gains three rocks each week. So the number of rocks in his collection after "w" weeks will be 30 + 3w.
To find the point at which they have the same number of rocks in their collections, we set up the equation:
18 + w = 30 + 3w
Simplifying the equation:
18 - 30 = 3w - w
-12 = 2w
Dividing both sides by 2:
-6 = w
So after 6 weeks, Joe and Louis will have the same number of rocks in their collections.
Remember to verify your answer by substituting "w" back into the equations to ensure that both Joe and Louis have the same number of rocks after 6 weeks.
To find out after how many weeks Joe and Louis will have the same number of rocks in their collection, we need to set up an equation.
Let's assume that the number of weeks is represented by the variable 'w'.
Joe currently has 18 rocks and gains 'w' rocks each week. Therefore, her total number of rocks after 'w' weeks can be expressed as: 18 + w
Louis currently has 30 rocks and gains three rocks each week. Therefore, his total number of rocks after 'w' weeks can be expressed as: 30 + 3w
We want to find the number of weeks ('w') when they have the same number of rocks, so we can set up the equation:
18 + w = 30 + 3w
To solve the equation, we need to isolate 'w' on one side:
18 - 30 = 3w - w
-12 = 2w
Dividing both sides by 2, we get:
-6 = w
Therefore, after 6 weeks, Joe and Louis will have the same number of rocks in their collection.