Four friends buy three different kinds of fruit in the market. When they get home they cannot remember the individual prices per kilogram, but three of them can remember the total amount that they each paid. The weights of fruit and the total amounts paid are shown in the following table. Assuming that, for each variety of fruit, the price per kilogram paid by each of the friends is the same, calculate the total amount that Lee Lian paid.

1. Define variables and formulate the system of linear equations based on the given table.

Let $x$, $y$, and $z$ be the price per kilogram of pineapples, mangoes, and lychees respectively, in dollars.
Using the table, we can set up the following equations for the total amount paid by Suresh, Fandi, and Cindy:

2. Solve the system of linear equations using a graphing calculator.

Using the simultaneous equation solver on a graphing calculator, we get:
$x = 3.5$
$y = 2.6$
$z = 4.9$

3. Calculate the total amount paid by Lee Lian using the determined prices.

Total amount paid by Lee Lian $= 1.30x + 0.25y + 0.50z$
$= 1.30(3.5) + 0.25(2.6) + 0.50(4.9)$
$= 4.55 + 0.65 + 2.45$
$= 7.65$