SOLUTION: This question doesn't make sense to me. I don't know if they're saying the pennies are $2.40 and the dimes are $2.40 or together they're $2.40. A person has 33 coins consisting of

Question 893983: This question doesn't make sense to me. I don't know if they're saying the pennies are $2.40 and the dimes are $2.40 or together they're $2.40. A person has 33 coins consisting of pennies, dimes, and quarters. the pennies and dimes are equal. The total of all are 2.40. What is the number of pennies that are also equal to dimes is __ and what is the number of quarters ___? Please help!!!!
Found 2 solutions by josgarithmetic, richwmiller:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
The quantity of all coins is 33.
The amount of money for this combination of coins is $2.40.

ASSIGN VARIABLES
p = how many pennies
d = how many dimes
q = how many quarters

EQUATIONS
p=d, "the pennies and dimes are equal".
p+d+q=33, account for how many coins
0.01p+0.10d+0.25q=2.40, account for the amount of money value

Can you simplify and solve the system of equations?

SOME STEPS TO BEGIN SOLVING THE SYSTEM
Simplify the money count equation using dividing both sides by 0.01, so you will have whole number coefficients.
.
You can use the p=d equation to eliminate either of these variables in the coin count and money count (now simplified) equations. Here, I choose substituting for p...
, giving .
, giving .
-
Now you have a simplified system in the variables d and q:
.
FINISH SOLVING THIS SYSTEM.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
If you had read other similar questions you would be able to do this.
The total of all is $ 2.40
p+d+q=33,
p=d
25q+10d+p=240
We have three unknowns and three equations
d = 15, p = 15, q = 3
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