SOLUTION: A jar contains 40 coins consisting of dimes and quarters and having a total value of $4.90. How many of each kind of coin are there?

Algebra.Com
Question 50892This question is from textbook Algebra and Trigonometry Structure and Method.
: A jar contains 40 coins consisting of dimes and quarters and having a total value of $4.90. How many of each kind of coin are there? This question is from textbook Algebra and Trigonometry Structure and Method.

Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!
Think of:
d = number of dimes
q = number of quarters
d + q = 40 which can be: d = 40 - q
plug:
0.1d + 0.25q = 4.90
0.1(40 - q) + 0.25q = 4.90
4 - 0.1q + 0.25q = 4.90
0.15q = 0.90
q = 6
plug: d = 40 - q = 40 - 6 = 34
34 dimes and 6 quarters

RELATED QUESTIONS

a jar contains 40 coins consisting of dimes and quarters and having a total value of... (answered by checkley71)
A jar contains 40 coins consisting of dimes and quarters and having a total value of... (answered by funmath)
a jar contains 40 coins consisting of dimes and quarters and having a total value of... (answered by rchill)
A jar contains 40 Coins consisting of dimes and quarters and having a total value of... (answered by jojo14344)
A jar contains 40 coins consisting of dimes and quarters and having a total value of... (answered by CubeyThePenguin,ikleyn,greenestamps,MathTherapy,josgarithmetic)
A jar consisting of dimes and quarters and having a total value of $4.90. How many of... (answered by richwmiller)
A jar contains 40 coins consisting of dimes and quarters and having a total value of... (answered by scott8148,edjones)
A jar of change contains 64 coins consisting only quarters and dimes. The total value of... (answered by Alan3354,Edwin McCravy)
a childs bank contains 70 coins consisting of nickels and dimes that have a total value... (answered by blubunny01)