SOLUTION: I'm working on this coin problem and I can't seem to get the formula right for the equation. Here is what the problem gives as information: A box currently contains 44 coins, co

Question 50238This question is from textbook Intermediate algebra
: I'm working on this coin problem and I can't seem to get the formula right for the equation. Here is what the problem gives as information:
A box currently contains 44 coins, consisting of pennies and dimes and quarters. the number of pennies is equal to the number of dimes, and the total value is $4.37. How may of each denominatin of coin does the box contain?
They have a table:
# of coins|deommination | value
x | .01 | .01x
_______________________________
x | |
_______________________________
| 0.25 |
|4.37 <-total
How do I formulate the equation from this world problem? (one i get the equation i can solve it but getting the equation is tricky).
thanks This question is from textbook Intermediate algebra

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A box currently contains 44 coins, consisting of pennies and dimes and quarters. the number of pennies is equal to the number of dimes, and the total value is $4.37. How may of each denominatin of coin does the box contain?
-------------------
Let the number of pennies be "x".
The value of those pennies is x cents.
the number of dimes is also "x".
The value of those dimes is 10x cents
The number of quarters is "44-x-x"=44-2x
The value of those quarters is 25(44-2x)=1100-50x cents
EQUATION:
value + value + value = 437 cents
x + 10x + 1100-50x = 437
-39x = - 663
x=17 ( number of pennies and number of dimes)
44-2y=44=34=10 ( number of quarters)
Cheers,
Stan H.
RELATED QUESTIONS
I sure hope that I chose the right topic, if not I apologize. I am stuck on this word... (answered by rossiv53)

I can't seem to get the formula right to solve problem. Can someone help? The problem is (answered by Fombitz)

I'm not sure if this is the right subject line but I am working with decimal points and... (answered by stanbon)

A coin bank contains $17.00 in pennies and nickels. If there are 1140 coins in the bank,... (answered by checkley71)

i am working on linear equations for my test tomorrow, but I am stumped on one problem... (answered by jim_thompson5910)

I've been stuck on this problem for about an hour now and can't seem to figure out the... (answered by Alan3354)

If you could please help me on the steps when using the quadratic equation? I can... (answered by Fombitz)

# 34 Solve for x (x+1)^2+2(x-2)=(x+1)(x-2) I have been stuck on this problem for... (answered by Alan3354)

Hello, I am interested in eventually being a tutor initially in geometry, and have... (answered by stanbon)