Robert has a collection of 26 fishing lures and Lucy has a collection of 34 fishing lures. Robert is adding 4 new lures per month to his collection, while Lucy is adding 2 new lures per month to her collection. After how many months will Robert and Lucy have the same number of fishing lures? Write and solve a system of equations.(1 point)

Question

Robert has a collection of 26 fishing lures and Lucy has a collection of 34 fishing lures.  Robert is adding 4 new lures per month to his collection, while Lucy is adding 2 new lures per month to her collection.  After how many months will Robert and Lucy have the same number of fishing lures?  Write and solve a system of equations.(1 point)

Bot GPT 3.5 · Answer

Let x be the number of months. Robert's collection will have 26 + 4x lures and Lucy's collection will have 34 + 2x lures. We can set up the following system of equations to represent the given information: 26 + 4x = 34 + 2x 2x - 4x = 34 - 26 -2x = 8 x = 8/-2 x = <<8/-2=-4>>-4 After -4 months, Robert and Lucy will have the same number of fishing lures.