Originally Posted by

**masters** Hi magentarita,

If you're talking in "amounts", you need to multiply the number of dimes and nickels by their respective values.

Let **n** = the number of nickels

Let **d **= the number of dimes

Your first equation becomes:

**[1] 5n + 10d = 605**

Now, let's work on the changes.

Let **n-10** = the new number of nickels

Let **2d** = the new number of dimes

Your second equation becomes:

**[2] 5(n - 10) + 10(2d) = 985**

You can simplify both equations to the following:

**[1] n + 2d = 121**

**[2] n + 4d = 207**

**-----------------**

Subtract the two equations to get:

**-2d = -86**

__d = 43__

So the number of __dimes = 43__ to make $4.30

The number of nickels can be found by subtracting **$4.30** from **$6.05** to get **$1.75** and dividing by **$.05**, we get __35 nickels__

Let's check it:

Original setup:

**43 dimes = $4.30**

**35 nickels = $1.75**

**Total = $6.05**

Now, let's double the dimes, and reduce the number of nickels by 10.

**86 dimes = $8.60**

**25 nickels = $1.25**

**Total = $9.85**