Answer:
Price of one bag of gummy bears = $1.44
Price of one bag of chocolates = $1.14
Step-by-step explanation:
Let the price of one bag of gummy bears = $b
Price of one bag of chocolate = $c
Since, cost of 15 bags of gummy bears and 3 bags of chocolates is $25
15b + 3c = 25 --------(1)
And cost of 3 bags of gummy bears and 5 bags of chocolates is $10
3b + 5c = 10 -----(2)
Equation (2) multiplied by 5 then subtracted from equation (1),
15b + 3c - 5(3b + 5c) = 25 - 50
15b + 3c - 15b - 25c = -25
-22c = -25
c = [tex]\frac{25}{22}[/tex]
c = 1.136 ≈ $1.14
From equation (1),
15b + 3(1.136) = 25
15b = 21.592
b = $1.44
