How many lawns must be cut for both Zach and Jen to earn the same amount of money?

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To determine how many lawns Zach and Jen must cut in order to earn the same amount of money, we start by identifying how much each earns per lawn. Let’s say Zach earns $X per lawn and Jen earns $Y per lawn. The goal is to find the point at which their total earnings are equal.

If we let "n" represent the number of lawns cut, Zach’s total earnings would be n * X, and Jen’s total earnings would be n * Y. To find out when their earnings are equal, we set up the equation:

n * X = n * Y.

We can rearrange this to solve for "n," resulting in the equation:

n * (X - Y) = 0.

To find the specific value of "n" where they earn the same amount of money, we can analyze the equation more closely. If we take the earnings per lawn into account, we find the point where their earnings converge.

If Zach and Jen earn different amounts, the number of lawns cut becomes significant in balancing their total earnings. This problem often comes down to solving for "n" using given earning rates, then simplifying the expression to see at what point their total income will match.

Thus, if the solution arrives

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