SOLUTION: Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there?
Algebra.Com
Question 373120: Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there?
Answer by CharlesG2(834) (Show Source): You can put this solution on YOUR website!
Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there?
D = number of dimes, Q = number of quarters
D + Q = 100
0.10D + 0.25Q = 19.75 or 10D + 25Q = 1975
D = 100 - Q
10(100 - Q) + 25Q = 1975
1000 - 10Q + 25Q = 1975
-10Q + 25Q = 975
15Q = 975
Q = 65 quarters
D = 100 - 65 = 35 dimes
check: 10(35) + 25(65) = 350 + 1625 = 1975
RELATED QUESTIONS
Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How... (answered by checkley77)
Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How... (answered by mananth)
Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How... (answered by ankor@dixie-net.com)
Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How... (answered by JBarnum)
A piggy bank contains $19.75 in quarters and dimes equaling a 100 coins in all. How many (answered by ankor@dixie-net.com)
Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How... (answered by jim_thompson5910)
Gaby's piggy bank contains 7.15 in quarters and dimes there are 37 coins in all how many... (answered by kieranmick)
My piggy bank contains $19.75 in dimes and quarters, there are 100 coins in all, how many (answered by jorel1380,stanbon,scott8148)
7: Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How (answered by oscargut,Cromlix)