The one-time entry fee is $12.
In order to determine the one-time entry fee, two equations have to be formed from the information in the question:
x + 5y = 42 equation 1
x + 7y = 54 equation 2
Where:
x = one-time entry fee
y = cost to pick an apple per pound
In order to determine the one-time entry fee, take the following steps:
Multiply equation 1 by 7 and equation 2 by 5.
7x + 35y = 294 equation 3
5x + 35y = 270 equation 4
Subtract equation 4 from equation 3
2x =24
Divide both sides of the equation by 2
x = $12
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