The total cost of five coconut and 1 durian is $29.35. One coconut costs $13.15 less than 1 durian. Find the cost of one coconut.

1 answer

Let's represent the cost of one durian as D and the cost of one coconut as C.

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

5C + D = 29.35 (total cost of five coconuts and one durian is $29.35)

C = D - 13.15 (the cost of one coconut is $13.15 less than the cost of one durian)

Substitute the second equation into the first equation to eliminate C:

5(D - 13.15) + D = 29.35
5D - 65.75 + D = 29.35
6D - 65.75 = 29.35
6D = 95.1
D = 95.1 / 6
D = 15.85

Now, substitute the value of D back into the second equation to find C:

C = 15.85 - 13.15
C = 2.70

Therefore, the cost of one coconut is $2.70.