Rufus collected 18 pounds of aluminum cans to recycle. He plans to collect an additional 2 pounds each week. He wants to collect a total of 42 pounds of aluminum cans. Let x represent the number of weeks Rufus collects aluminum cans.

12 weeks

Step-by-step explanation:

Given

weekly

Required

Determine the number of weeks

Represent the maximum number of pounds with y and the number of weeks with x.

Such that

From the given parameters, the relationship between y and x is as follows:

Substitute 42 for y and 18 for base value

Subtract 18 from both sides.

Divide both sides by 2

Hence, the number of weeks is 12

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