At a candy store Erica bought 3 kg of cinnamon red hots and 1 kg of gummy bears for $21 meanwhile Irene bought 3 kg of cinnamon red hots and 3 kg of gummy bears for $39 what is the cost of 1 kg of each type of candy?
Accepted Solution
A:
You use simultaneous to work this out. Say c= cinnamon red hots g= gummbears
3c + 3g = 39 3c + 1g = 21 Since the c's are the same you subtract everything. So 3c -3c, 3g-1g, 39-21
2g = 18 (You divide by 2 to get what g is) g = (So 1kg of gummybears = $9)
To get cinnamon red hots, subsitute the g =9 into either the first or second equation at the top:
3c + 1g = 21 3c + 9 = 21 (we know that g=9) 3c = 12 (Subtractt 9 from 21) c = 4 (divide both sides by 3 to get what c is) So 1kg of cinnamon red hots = $4