SOLUTION: josie has twice as many nickels as dimes and five less quarters than dimes. if she had a total of $5.95. how much of each coins does she have
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Question 857342: josie has twice as many nickels as dimes and five less quarters than dimes. if she had a total of $5.95. how much of each coins does she have
Answer by ben720(159) (Show Source): You can put this solution on YOUR website!
If you Let X=dimes, then
2(X)*0.05 nickels + X*0.1 dimes + (X-5)*0.25 = $5.95
Then, add 1.25 to both sides,
Combine Like Terms
Divide by 0.45 on both sides
You have X dimes, 2X nickels, and X-5 quarters.
Substitute to get 16 dimes, 32 nickels, and 11 quarters.
To check, see if
True
Your final, checked answer is 16 dimes, 32 nickels, and 11 quarters.
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