Question

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.

Part A: Set up a system of equations to show how many rocks each has in their collection. You must write two equations for this. (2 points)

Part B: After how many weeks will Samuel and Lewis have the same number of rocks in their collections? Write out the equation used and show all work. (1 point)

Part C: How many rocks will Samuel and Lewis have when the amount of rocks in their collection is equal? Show work on how this is found. (1 point)

Answer 1

Sam = 18 + 4w
Lew = 30 + 3w

we want Sam = Lew
18 + 4w = 30 + 3w
4w - 3w = 30 - 18
w = 12

after 12 weeks they have the same

since their total should be equal...
Sam = 18 + 4w = 18 + 48 = 66 rocks
(we get the same if we evaluate Lew)