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
Let's assume the number of months it will take for Robert and Lucy to have the same number of fishing lures is "m".
After "m" months, Robert will have 26 + 4m fishing lures.
After "m" months, Lucy will have 34 + 2m fishing lures.
To find the value of "m", we need to set the two expressions equal to each other:
26 + 4m = 34 + 2m
To simplify the equation, we'll subtract 2m from both sides:
2m = 8
Next, we'll divide both sides by 2:
m = 4
Therefore, it will take 4 months for Robert and Lucy to have the same number of fishing lures.