Problema Solution
At a candy store, Erika bought 3 kilograms of cinnamon red hots and 1 kilogram of gummy bears for $21.00. Meanwhile, Irene bought 3 kilograms of cinnamon red hots and 3 kilograms of gummy bears for $39.00. What is the cost of one kilogram of each type of candy?
Answer provided by our tutors
Let
x = the cost per kilogram of cinnamon red hots
y = the cost per kilogram gummy bears
Erika bought 3 kilograms of cinnamon red hots and 1 kilogram of gummy bears for $21.00:
3x + y = 21
Meanwhile, Irene bought 3 kilograms of cinnamon red hots and 3 kilograms of gummy bears for $39.00:
3x + 3y = 39
We have the following system of equations:
3x + y = 21
3x + 3y = 39
........
........
x = $4
y = $9
The cost of 1 kilogram of cinnamon red hosts is $4.
The cost of 1 kilogram of gummy bears is $9.