Question

You are going to a private apple orchard to pick apples. There is a one-time entry fee that everyone pays, and you also pay a certain amount per pound of apples you pick. It costs $46 to buy 5 pounds of apples, and it costs $58 to buy 7 pounds of apples.

Answer 1

The one-time entry fee is $6 and the price per pound is $4.

In order to determine the one time entry fee and the cost to pick an apple per pound, two equations would be formed from the question:

x + 5y = 46 equation 1

x + 7y = 58 equation 2

Where:

x = one-time entry fee

y = price per pound

In order to determine the value of y, subtract equation 1 from 2

2y = 12

y = 12 / 2  = 6

In order to determine the value of x, substitute for y in equation 1:

x + 5(6) = 46

x + 30 = 46

x = 40 - 36

x = 4

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