# math project

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#### Storyboard Text

• 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
• I admit that you really surprised me, James.
• ﻿check 16+8=24 5(16)+8(8)=144
• ﻿
• ﻿
• 16 8
• ﻿
• ﻿
• ,mm
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