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Answer :
Answer:
A) [tex]x+y=20[/tex]
B) Cost function is: [tex]3x+2y = 50[/tex]
C) [tex]x+y=20[/tex], [tex]3x+2y = 50[/tex]
D) [tex]x=10, y=10[/tex]
E) Yes, the result satisfies the equations.
Step-by-step explanation:
Let number of kilos of mango bought = [tex]x[/tex]
Let number of kilos of atis bought = [tex]y[/tex]
Total number of kilos bought = 20
A) [tex]x+y=20[/tex]
Cost of mango per kg = 60
Cost of mango for [tex]x[/tex] kg = [tex]60x[/tex]
Cost of atis per kg = 40
Cost of mango for [tex]y[/tex] kg = [tex]40y[/tex]
Total cost is: Cost of mango + Cost of atis = 1000
B) Cost function is:
[tex]60x+40y=1000\\\Rightarrow 3x+2y = 50 ...... (2)[/tex]
C) System of equations are:
[tex]x+y=20[/tex] ...... (1)
[tex]3x+2y = 50[/tex]...... (2)
D) Using elimination method:
Multiplying equation (1) with 2 and subtracting from (2):
[tex]x = 10[/tex]
By equation (1):
[tex]\Rightarrow y =10[/tex]
E) Putting both the values in LHS of equation (1):
10+10 = 20 = RHS
Putting both the values in LHS of equation (2):
[tex]3\times 10 +2\times 10[/tex] = 50 = RHS
Yes, the result satisfies the equations.
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