SOLUTION: I need help on this please, it might be simple to you but to me its hard! Tori has 8 coins, all of which are quarters and nickels. In all, they're worth $1.40. How many of

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Question 1059298: I need help on this please, it might be simple to you but to me its hard!
Tori has 8 coins, all of which are quarters and nickels. In all, they're worth $1.40. How many of each kind of coin does Tori have?

Found 2 solutions by addingup, ikleyn:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Don't despair, no one I know was born knowing math. Maybe Einstein, but I never met the guy... before my time ;-)
:
Tori has: q+n = 8 That's 2 variables, q and n. Too many, let's make it just one variable: Tori has q+n = 8, subtract q on both sides and we get:
q-q+n = 8-q; n = 8-q (always do to one side what you do to the other)
:
Next:
0.25q+0.10n = 1.40 substitute for n, like this:
0.25q+0.10(8-q) = 1.40
0.25q+0.80-0.10q = 1.40 simplify q on left and subtract 0.80 on both sides:
0.15q = 0.60 divide both sides by 0.15:
q = 4 Tori has 4 quarters and 8-4= 4 dimes
---------------------------
Check:
4*0.25 = 1
4*0.10 = 0.40
--------------
Total . .1.40 Correct

Answer by ikleyn(53765) About Me  (Show Source):
You can put this solution on YOUR website!
.
There is entire bunch of lessons on coin problems
    - Coin problems
    - More Coin problems
    - Solving coin problems without using equations
    - Kevin and Randy Muise have a jar containing coins
    - Typical coin problems from the archive
    - More complicated coin problems
    - Solving coin problems mentally by grouping without using equations
    - Santa Claus helps solving coin problem
    - OVERVIEW of lessons on coin word problems
in this site.

Read them and become an expert in solution of coin problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Coin problems".