SOLUTION: Susan has a number of dimes and quarters in her pocket. She has a total of 84 coins, and the total dollar value of all dimes and quarters is $15. Write two equations, using

Question 343930: Susan has a number of dimes and quarters in her pocket.
She has a total of 84 coins, and the total dollar value of all dimes and quarters is $15.
Write two equations, using variables �d� and �q� to represent the number of dimes and quarters Susan has.
Solve those two equations using either the substitution or elimination method to find how many dimes and how many quarters she has.
Found 3 solutions by Fombitz, stanbon, josmiceli:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Total number of coins
1.
Total value of coins (in cents)

2.
Multiply eq. 1 by (-2) and add it to eq. 2,

Then from eq. 1,

.
.
.
Forty dimes and forty four quarters.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
She has a total of 84 coins, and the total dollar value of all dimes and quarters is $15.
Write two equations, using variables �d� and �q� to represent the number of dimes and quarters Susan has.
Solve those two equations using either the substitution or elimination method to find how many dimes and how many quarters she has.
------------------
Quantity Eq.:::: d + q = 84
Value Eq::::::: 10d+25q = 1500 cents
------------------------------------------
Multiply thru the 1st by 10.
10d + 10q = 10*84
10d + 25q = 1500
------------------
Subtract 1st from 2nd and solve for "q":
15q = 660
q = 44 (# of quarters)
--------------------------------
Since d+q = 84, d = 40 (# of dimes)
======================================
Cheers,
Stan H.
========
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
given:
(1)
(2) (in cents)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

And, from (1),
(1)

She has 40 dimes and 44 quarters
check answer:
(2)
(2)

OK
RELATED QUESTIONS
A woman has 25 coins in her pocket, all of which are dimes and quarters. If the total... (answered by ankor@dixie-net.com,Alan3354)
sally has only dimes and quarters in her pocket. she has 21 coins all together with a... (answered by addingup,josgarithmetic)
The only coins Ms. Storgaard has are dimes and quarters. Her coins have a total value of... (answered by ewatrrr)
Susan's change purse contains quarters, dimes, and nickels. She has twice as many nickels (answered by stanbon,killahzsmilez)
Angela has 23 coins in quarters and dimes in her pocket. The total value is $5.00. How... (answered by ikleyn)
Cookie has 97 coins in her collection � all either nickels, dimes or quarters. If 77 of... (answered by Edwin McCravy)
Chris has a total of30 quarters and dollar coins the value of her coins is $4.80 how... (answered by josgarithmetic,ikleyn)
Chris has a total of30 quarters and dollar coins the value of her coins is $4.80 how... (answered by ikleyn)
Maribel has $1.25 in her pocket. The money is in quarters and dimes. There are a total of (answered by mananth)