Samuel currently has 18 rocks in his collection and gains 4 each week. Lewis currently has 30 rocks in his collection and gains 3 each week.
Set up a system of equations to show how many rocks each has in their collection.
Samuel has y=Response areax+.
Lewis has Response areax+Response area.
After how many weeks will Samuel and Lewis have the same number of rocks in their collections? Response area weeks
How many rocks will Samuel and Lewis have when the amount of rocks in their collection is equal? They will each have Response area rocks in their collection.
The system of equations to show how many rocks each has in their collection is:
Samuel: y = 18 + 4x
Lewis: y = 30 + 3x
Where y is the total number of rocks and x is the number of weeks.
To find out after how many weeks Samuel and Lewis will have the same number of rocks in their collection, we can set their equations equal to each other:
18 + 4x = 30 + 3x
Simplifying this equation, we get:
x = 12
Therefore, it will take 12 weeks for Samuel and Lewis to have the same number of rocks in their collections.
To find out how many rocks Samuel and Lewis will have when the amount of rocks in their collection is equal, we can substitute x = 12 into either equation:
Samuel: y = 18 + 4(12) = 66 rocks
Lewis: y = 30 + 3(12) = 66 rocks
Therefore, they will each have 66 rocks in their collection when the amount of rocks is equal.