Two apples and a coconut cost $3100.00. An apple and two coconut cost $2600.00 what is the cost of a coconut

Let's assume the cost of an apple is "A" dollars and the cost of a coconut is "C" dollars.

From the given information, we can set up two equations:

Equation 1: 2A + C = 3100.00 (The cost of two apples and a coconut is $3100.00)
Equation 2: A + 2C = 2600.00 (The cost of an apple and two coconuts is $2600.00)

To find the cost of a coconut, we need to solve these two equations.

Let's multiply Equation 2 by 2 to have the same number of C's in both Equations:

2(A + 2C) = 2 * 2600.00
2A + 4C = 5200.00

Now, we can subtract Equation 1 from Equation 2:

(2A + 4C) - (2A + C) = 5200.00 - 3100.00
2A + 4C - 2A - C = 2100.00
3C = 2100.00
C = 2100.00 / 3
C ≈ 700.00

Therefore, the cost of a coconut is approximately $700.00.