The price of 5 citrons and 9 fragrant wood apples is 76 units the price of 9 citrons and 5 fragrant wood apples is 92 units find the price of a Citron and the price of a wood Apple
5c + 9a = 76
9c + 5a = 92
Can you solve those equations to find the price of a citron and the price of an apple?
To find the price of a citron and the price of a fragrant wood apple, we can set up a system of equations based on the given information.
Let's denote the price of a citron as "C" and the price of a fragrant wood apple as "W".
According to the first statement, the price of 5 citrons and 9 fragrant wood apples is 76 units:
5C + 9W = 76 -- (Equation 1)
According to the second statement, the price of 9 citrons and 5 fragrant wood apples is 92 units:
9C + 5W = 92 -- (Equation 2)
We now have a system of two equations with two variables. We can solve this system to find the values of C and W.
One method to solve this system is by using the method of substitution. We can rearrange Equation 1 to solve for C in terms of W:
5C = 76 - 9W
C = (76 - 9W)/5
We can substitute this expression for C into Equation 2:
9[(76 - 9W)/5] + 5W = 92
Now we can solve this equation to find the value of W.