At a local farmer's market, it costs $10 to rent a stand, plus $7 per hour you stay there. If you paid a total amount of $38, how many hours did you stay at the farmers market?

Equation-



h=

1 answer

To determine how many hours you stayed at the farmer's market, you can set up an equation based on the costs provided.

The total amount you paid is the sum of the stand rental fee and the hourly fee. The equation can be formulated as follows:

\[ \text{Total Cost} = \text{Stand Rental Fee} + (\text{Hourly Fee} \times \text{Hours Stayed}) \]

From the problem:

  • Stand Rental Fee = $10
  • Hourly Fee = $7
  • Total Amount Paid = $38

Substituting these values into the equation gives:

\[ 38 = 10 + 7h \]

Now, isolate \(h\) (the number of hours stayed):

  1. Subtract the stand rental fee from both sides: \[ 38 - 10 = 7h \] \[ 28 = 7h \]

  2. Divide both sides by 7 to solve for \(h\): \[ h = \frac{28}{7} \] \[ h = 4 \]

So, you stayed at the farmers market for 4 hours.

Thus, the equation for \(h\) is:

\[ h = 4 \]

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