SOLUTION: This is the system of equations problem... "Laura has $4.50 in dimes and quarters. She has 3 more dimes than quarters. How many quarters does she have?" I thought of this equat

Question 833420: This is the system of equations problem...
"Laura has $4.50 in dimes and quarters. She has 3 more dimes than quarters. How many quarters does she have?"
I thought of this equation, but it isn't a system and I am not sure it would work either.

Could someone please explain how to solve this system of equations word problem? Thank so much and I really appreciate it.
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
"Laura has $4.50 in dimes and quarters. She has 3 more dimes than quarters. How many quarters does she have?"
Equations:
Quantity: d = q + 3
Value::: 10d + 25q = 450 cents
--------
Substitute for "d" and solve for "q":
10(q+3) + 25q = 450
10q + 30 + 25q = 450
35q = 420
----------
q = 12 (# of quarters)
----
d = q+3 = 15 (# of dimes)
----------------------
Cheers,
Stan H.
=============

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Convert dollar to cents
She has 450 cents
Let = the number of dimes she has
Let = the number of quarters she has
-------------------
(1)
(2)
-----------------------
(1)
Multiply both sides of (1) by
and add (1) and (2)
(2)
(1)

and, since
(1)
(1)
(1)
She has 15 dimes and 12 quarters
check:
(2)
(2)
(2)
(2)
OK

RELATED QUESTIONS
Laura has $4.50 in dimes and quarters. She has 3 more dimes than quarters. How many... (answered by checkley79)
Laura has $4.50 in dimes and quarters. She has 3 more dimes than quarters. How many... (answered by ankor@dixie-net.com)
This is a system if equations word problem. "Laura has $4.50 in dimes and quarters.... (answered by josmiceli)
laura has $4.50 in dimes and quarters. She has three more dimes than quarters. How many... (answered by checkley79)
laura has $4.50 in quarters and dimes. She has 3 more dimes than quarters.How many... (answered by suhasbhat)
Tammy has $4.35 in quarters and dimes. She has 5 more dimes than quarters. Fill in the... (answered by stanbon)
Daniela has $35.40 in dimes and quarters. She has 4 more dimes than quarters. How many... (answered by checkley71)
roberta has $4.00 in dimes and quarters. She has 5 more dimes than quarters. Write a... (answered by Boreal)
Daniela has $35.30 in dimes and quarters. She has 3 more dimes than quarters. How many... (answered by nerdybill)