The cost of one kilogram of cinnamon red hots is $4.00 and cost of one kilogram of gummy bears is $9.00
Step-by-step explanation:
Let,
Cost of one kilogram of cinnamon red hots = x
Cost of one kilogram of gummy bears = y
According to given statement;
3x+y=21 Eqn 1
3x+3y=39 Eqn 2
Subtracting Eqn 1 from Eqn 2
[tex](3x+3y)-(3x+y)=39-21\\3x+3y-3x-y=18\\2y=18[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{18}{2}\\y=9[/tex]
Putting y=9 in Eqn 1
[tex]3x+9=21\\3x=21-9\\3x=12[/tex]
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{12}{3}\\x=4[/tex]
The cost of one kilogram of cinnamon red hots is $4.00 and cost of one kilogram of gummy bears is $9.00
Keywords: linear equation, elimination method
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