SOLUTION: I've been trying to figure this problem out but I just don't know how to do it. Any help would be greatly appreciated 6 gum drops and 10 lollipops cost $1.36, but 6 lollipops an

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Question 180209: I've been trying to figure this problem out but I just don't know how to do it. Any help would be greatly appreciated
6 gum drops and 10 lollipops cost $1.36, but 6 lollipops and 10 gum drops cost $1.20, how much does each lollipop and gum drop cost?
Answer by mgmoeab(37) (Show Source):
You can put this solution on YOUR website!
You can solve this by a system of linear equations:
a) 6A + 10B = $1.36
b) 10A + 6B = $1.20
a) -60A - 100B = $-13.60 <----- multiply by -10
b) 60A + 36B = $ 7.20 <----- multiply by 6
This will give you a new equation easier to solve
c) -64B = $-6.40
If you solve for B, then you will have to divide -6.40 by -64.
B= $0.10
You can plug in this result in any of the above equations, and it will give you the value of A.
a) 6A + 10($0.10) = $1.36
6A + 1 = $1.36
6A = $0.36
If you solve for A, then you will have to divide 0.36 by 6
A= $0.06
TO VERIFY YOUR ANSWER:
a) 6($O.O6) + 10($O.10) = $1.36
b) 10($0.06) + 6($0.10) = $1.20