SOLUTION: A bottle and a cap together cost $1.10. The bottle cost $1.00 more than the cap. How much does each cost?

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Question 69452: A bottle and a cap together cost $1.10. The bottle cost $1.00 more than the cap. How much does each cost?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let b=bottle c=cap
Set up equation
c%2Bb=1.1 since bottle cost $1.00 more than cap, we can rewrite b in terms of c. Let b=c+1
c%2B%28c%2B1%29=1.1Solve for b
2c%2Bcross%281-1%29=1.1-1Subtract 1 from both sides
cross%282%29c%2Fcross%282%29=.1Divide both sides by 2
c=0.05
Cost of cap=$0.05
b=.05+1=1.05
Cost of bottle=$1.05