The price of 8 citrons and 9 fragrant wood apples is 145 units. The price of 9 citrons and 8 fragrant wood apples is 144 units. Find the price of a citron and the price of a wood apple.

The price of a citron is 8 and the price of a wood apple is 9

Step-by-step explanation:

First of all we make two equations that represents the problem

c = citrons price

w = wood apples price

8c + 9w = 145

9c + 8w = 144

we clear c in the first equation

8c + 9f = 145

8c = 145 - 9w

c = (145 - 9w) / 8

c = 145/8 - 9w/8

we replace c by (145/8 - 9w/8) in the second equation and solve

9 (145/8 - 9w/8) + 8w = 144

163.125 - 10.125w + 8w = 144

163.125 - 144 = 10.125w - 8w

19.125 = 2.125w

19.125/2.125 = w

9 = f

now we replace w in the first equation

8c + 9w = 145

8c + 9 (9) = 145

8c + 81 = 145

8c = 145 - 81

8c = 64

c = 64 / 8

c = 8

The price of a citron is 8 and the price of a wood apple is 9