Angel has $10.60 in a jar that contains only quarters and dimes. There are 100 coins in the jar. How many dimes are in Angel's jar?

Question

karatechopper · Answer

please show your work

accessdenied · Answer

Let $ q := \text{number of quarters} $ and $ d := \text{number of dimes} $.
We can model the number of coins in the jar by the equation:
     $ q + d = 100 $
The total value of the coins in the jar is given by the equation:
     $ 0.25q + 0.1d = 10.6 $

Solve for $q$ and $d$.

ash2326 · Answer

1 dime= 0.1$
1 cent= 0.01 $

It's given there are 100 coins in the jar
so
Let the no. of dimes be x
No. of cents be y
so
$$x+y=100................................(1)$$
Also they add up to $10.60
so
$$0.1x+0.01y=10.60.................(2)$$
Can you solve now @karatechopper

experimentx · Answer

Oops .. man didn't see that there were 100 coins

non negative integral solution of
0.25x+0.1y=10.60
x+y=100

anonymous · Answer

Try out Wolfram Alpha to solve the 2 equations. http://www.wolframalpha.com/input/?i=10.60+%3D+.25x+%2B+.1y%2C+x+%2B+y+%3D+100

karatechopper · Answer

ok i did all that but i got way f on my answer..can u show me how to work it?