SOLUTION: You have 33 quarters and dimes in a jar. The jar contains a total of $4.95. Write and solve a system of equations to find the number x of dimes and the number y of quarters

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Question 1033010: You have 33 quarters and dimes in a jar. The jar contains a total of $4.95. Write and solve a system of equations to find the number x of dimes and the number y of quarters
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
You have 33 quarters and dimes in a jar. The jar contains a total of $4.95. Write and solve a system of equations to find the number x of dimes and the number y of quarters
---------------
q + d = 33
25q + 10d = 495
Answer by ikleyn(52909)   (Show Source): You can put this solution on YOUR website!
.
You have 33 quarters and dimes in a jar. The jar contains a total of $4.95. Write and solve a system of equations
to find the number x of dimes and the number y of quarters
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Another solution is like this:

Let d be the number of dimes.
Then the number of quarters is (33-d).

The dimes contribute 10*d cents into the total.
The quarters contribute 25*(33-d).

Altogether, the quarter and dimes comprise 495 cents, which gives you an equation

10*d + 25*(33-d) = 495.

Simplify and solve for d:

10d + 825 - 25d = 495,   or

-15d = 495-825,

-15d = -330,

d =  = 22.

So, there are 22 dimes.

Then the number of quarters is 33 - 22 = 11.

Check.  22*10 + 11*25 = 495.   OK!

Answer.  22 dimes and 11 quarters.


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