SOLUTION: together a bottle and a cork cost a dollar and five cents. the bottle cost a dollar more than the cork. use trial and error to determine the cost of the cork

Question 901035: together a bottle and a cork cost a dollar and five cents. the bottle cost a dollar more than the cork. use trial and error to determine the cost of the cork
Found 2 solutions by JulietG, ewatrrr:
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
You *could* use trial and error, guessing what the number is and plugging it in until you get the right answer, or you could use math :-)
B + C = 1.05
B = C + 1.00
Substitute the value of B from the second equation into the first.
B + C = $1.05
(C+1.00)+ C = $1.05
2C + 1.00 = $1.05
Subtract a dollar from each side
2C = .05
Divide each side by 2
C = .025
Each cork costs 2.5 cents. The bottle costs a dollar more than that, or one dollar and 2.5 cents.
.025 + 1.025 = $1.05
That might be a difficult one for trial and error since it contains a half cent.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
together a bottle and a cork cost a dollar and five cents. the bottle cost a dollar more than the cork.
B + C = 1.05
(C + 1) + C = 1.05
2C + 1 = 1.05
2(.025) + 1 = 1.05
use trial and error to determine the cost of the cork is 2.5 cents
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