Badr bought fruit two times this week from different grocery stores the price of fruit at the first grocery store was 5 dollars per kg and at the second grocery store the fruit was 8 dollars per kg
1
Badr bought a total of 24kg of fruit and spent 144 dollars, how many kgs of fruit did Badr buy at each grocery store?
Badr it so easy you know I am so smart in math first I will start by creating a system of equations.
Badr you bought 16kg from the first store and 8kg from the second store now pay my fruit and never try to dare me again.
x + y = 24kg 5x + 8y = $144
if you find how many kg i bought from each grocery i will buy for you 20kg of fruit
coefficient matrix
X
variable matrix
I represent the equation as a matrix equation.
144
24
constant matrix
market 1
1 3
8-5
X
-5 1
8 -1
-5 1
8 -1
X
I used the inverse formula to multiply by the coefficient matrix to cancel it out and get the value of the variable matrix and find the answer.
5 8
or
1 1
X
-5 1
8 -1
x y
X
1 3
1 3
8 -1 -5 1
24 144
1 0 0 1
x y
1 3
ohh really because of that I always feel that I am hyper
48 24
sir did you know that eating fruit give you a lot of energy
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