Citrons cost 2 units each
Fragrant Wood Apples cost 4 units each
This can be solved with systems of equations as follows
Let x = citrons
Let y = fragrant wood apples
Equation 1 9x + 5y = 38
Equation 2 5x + 9y = 46
I will solve it with elimination
Multiply Equation 1 by negative 5
Multiply Equation 2 by positive 9
-45x - 25y = -190
45x + 81y = 414
Combining these two equations eliminates x leaving
56y = 224
Divide both sides by 56 to give
y = 4
Substitute y back in one of the original equations to solve for x
9x + 5y = 38
9x + 5(4) = 38
9x + 20 = 38
Subtract 20 from both sides of the equation to give
9x = 18
Divide both sides by 9
x = 2
Now just check the values in both equations
9x + 5y = 38
9(2) + 5(4) = 38
18 + 20 = 38
38 = 38
5x + 9y = 46
5(2) + 9(4) =46
10 + 36 = 46
46 = 46
I hope you find this useful it can also be solved by substitution if you want to check into that.
Give it a try.
