SOLUTION: Tia and Ken each sold snack bars and magazine subscriptions for a school fund-raiser. Tia earned $132 and Ken earned $190. Define a variable and formulate a system of linear equati

Question 1023782: Tia and Ken each sold snack bars and magazine subscriptions for a school fund-raiser. Tia earned $132 and Ken earned $190. Define a variable and formulate a system of linear equation from this situation. What was the price of per snack bar? Determine the reasonableness of your solution.
Snack bars sold by Tia - 16 Magazine Subscriptions sold by Tia - 4
Snack bars sold by Ken - 20 Magazine subscriptions sold by Ken - 6
Found 2 solutions by Alan3354, jorel555:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve for n.
log8^(n-3)+log8^(n-1)= 1/2
------------
log(8^(n-3)) + log(8^(n-1)) = 1/2
log(8^(2n-4)) = 1/2
log(8^(2n-4)) = log(sqrt(10))
8^(2n-4) = sqrt(10)
(2n-4)*log(8) = 1/2
2n-4 = 1/log(64)
2n = 4 + 1/log(64)
n = 2 + 1/log(4096)
n =~ 2.27683
Answer by jorel555(1290) (Show Source): You can put this solution on YOUR website!
Let s and z be snack bars and magazines. Then:
16s+4z=132
20s+6z=190
So:
48s+12z=396
40s+12z=380
8s=16
s=$2 per bar
z=$25 per subscription!!!!!!!!!!!
Is this reasonable?? I think so!!!!!!!
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