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=4x+18.
Lewis has 3x+.30
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.
To find the number of weeks when Samuel and Lewis have the same number of rocks, we can set their equations equal to each other and solve for x:
4x + 18 = 3x + 30
x = 12
Therefore, after 12 weeks, Samuel and Lewis will have the same number of rocks.
To find the number of rocks they will each have at that time, we can substitute x=12 into either equation. Let's use Samuel's equation:
y = 4(12) + 18
y = 66
Therefore, after 12 weeks, Samuel and Lewis will each have 66 rocks in their collections.