The cost of one kilogram of each type of candy is 9 dollars per kilogram and 4 dollars per kilogram.
Given that,
Erika spent $21.00 at a candy store to purchase 3 kilograms of cinnamon red hots and 1 kilogram of gummy bears. Irene spent $39.00 on 3 kilograms of gummy bears and 3 kilograms of cinnamon red hots.
We have to find how much would one kilogram of each kind of candy cost.
We know that,
Let's change the price of cinnamon red hots per kg to c and the price of gummy bears per kg to b.
3c+1b=21
3c+3b=39
By substitution method
-3c-b=-21 (Multiply one of the equation's terms by -1 to eliminate c.)
3c+3b=39
We get
2b=18
b=9 dollars per kilogram
To find c you can plug the value of b back into one of the equation above and 3c+9=21 which lead to 3c =12 so c=4 dollars per kilogram.
Therefore, the cost of one kilogram of each type of candy is 9 dollars per kilogram and 4 dollars per kilogram.
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