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.
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
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