SOLUTION: Mary has a piggy bank in which she has saved only dimes and quarters. She has 17 coins in the bank worth $2.45. How many coins of each type does she have?

Algebra.Com
Question 993331: Mary has a piggy bank in which she has saved only dimes and quarters. She has 17 coins in the bank worth $2.45. How many coins of each type does she have?

Answer by CubeyThePenguin(3113)   (Show Source): You can put this solution on YOUR website!
d = number of dimes
q = number of quarters

d + q = 17
10d + 25q = 245

Multiply the first equation by 25.

25d + 25q = 425
-(10d + 25q = 245)
---------------------
15d = 180
d = 12

Mary has 12 dimes and 5 quarters.

RELATED QUESTIONS

Alycia opens her piggy bank to find only quarters and dimes inside .she counted the coins (answered by Alan3354)
Jenny has a total of 21 dimes and quarters in her piggy bank. If the coins are worth... (answered by josgarithmetic)
Beatrice has coins in her piggy bank worth $7.40, all dimes and quarters. She has 3 more... (answered by TimothyLamb)
A bank has only dimes and quarters worth $15.40. There are 100 coins in the bank. How... (answered by Edwin McCravy)
A boy has only dimes and quarters in his piggy bank. If he has 60 coins worth 12 dollars... (answered by LinnW)
Has 600 quarters and dimes in her piggy bank which totals $123.75.How many quarters and... (answered by Alan3354)
Kirsten has 64 coins in her piggy bank. She has $9.25 in dimes and quarters. How many... (answered by lynnlo)
​Gaby's piggy bank contains quarters and nickels worth ​$5.45. If she has 45... (answered by stanbon)
A piggy bank has only nickels and quarters in it. There are 12 coins worth $1.80. How... (answered by Samuel Rodriguez,stanbon)