SOLUTION: Christy has a coin collection of nickels and dimes. She has 28 coins worth $2.25. How many of each coin does Christy have? I know that .05n + .10D = $2.25 I also know that n+d=

Algebra.Com
Question 573352: Christy has a coin collection of nickels and dimes. She has 28 coins worth $2.25. How many of each coin does Christy have?
I know that .05n + .10D = $2.25
I also know that n+d=28
I can figure out these types of problems in my head, but I can't seem to do it using an algebraic equation.

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
your equations can be used for substitution or elimination

n + d = 28 ___ n = 28 - d

5n + 10d = 225 ___ substituting ___ 5(28 - d) + 10d = 225

140 - 5d + 10d = 225 ___ 5d = 85

solve for d, then substitute back to find n

RELATED QUESTIONS

Christy has a coin collection consisting of nickels and dimes. She has 28 coins worth... (answered by )
christy has a coin collection consisting of nickels and dimes. she has 28 coins worth... (answered by mananth)
Sarah has a coin collection of nickels, dimes, and quarters worth $15.75. She has 10 more (answered by josmiceli)
Adam has a collection of 27 coins that are worth $2.10. If he only has nickels and dimes (answered by TimothyLamb)
Sonja has some nickels and dimes. If she has 30 coins worth a total of $2.00, how many of (answered by math_helper)
Teresa has some dimes and quarters. If she has 28 coins worth a total of $4.90, how... (answered by josgarithmetic,ikleyn)
Barbara has some dimes and quarters. If she has 25 coins worth a total of $2.95, how... (answered by Edwin McCravy)
Carol has some dimes and quarters if she has 25 coins worth a total of $3.70 how many of... (answered by algebrahouse.com,greenestamps)
Lucy has a pile of 50 dimes and nickels worth $4.30. How many of each coin does she... (answered by checkley75)