SOLUTION: 7: Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there? i need help, how will i solve this ?

Algebra.Com
Question 771765: 7: Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there?
i need help, how will i solve this ?

Found 2 solutions by oscargut, Cromlix:
Answer by oscargut(2103)   (Show Source): You can put this solution on YOUR website!
Let x = number of dimes
Let Y = number of quarters
You have to solve the following system
x+y =100
0.1x+0.25y = 19.75
Answer: x = 35 , y = 65
I can help you with all of your questions at: mthman@gmail.com
Thanks

Answer by Cromlix(4381)   (Show Source): You can put this solution on YOUR website!
Dimes = x
Quarters = y
x + y = 100.....1
10x + 25y = 1975....2
Multiply Eq (1) by 25
25x + 25y = 2500....3
10x + 25y = 1975....2
Subtract (2) from (3)
15x = 525
x = 35
Substitute x = 35 into Eq (1)
x + y = 100
35 + y = 100
y = 100 - 35
y = 65.
Therefore there are 35 dimes and 65 quarters.
Hope this helps.
:-)

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 CharlesG2)
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)
My piggy bank contains $19.75 in dimes and quarters, there are 100 coins in all, how many (answered by jorel1380,stanbon,scott8148)
Gaby's piggy bank contains 7.15 in quarters and dimes there are 37 coins in all how many... (answered by kieranmick)