SOLUTION: bill has 10 coins which are quarters and dimes if his quarters were dimes and his dimes were quarters the total is 30 cents more how many quarters does he has?

Question 241985: bill has 10 coins which are quarters and dimes if his quarters were dimes and his dimes were quarters the total is 30 cents more how many quarters does he has?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of dimes he has
Let = number of quarters he has
given:
(1)
(2)
---------------------------------------
Notice that on the right side, I make the quarters
worth each and dimes worth each
From (1):
(1)
And, substituting:
(2)

And, since

He has 4 quarters
check answer:
(2)

OK

RELATED QUESTIONS
Bill has 10 coins, all of which are dimes and quarters. If his dimes were quarters and... (answered by stanbon)

Bill has 10 coins, all of which are dimes and quarters. If his dimes were quarters and... (answered by htmentor)

How many Dimes and Quarters Ethan has 23 coins in his pocket, all of which are dimes and (answered by josgarithmetic)

A man has 30 coins in his pocket, all of which are dimes and quarters. If the total value (answered by Edwin McCravy)

The total value of the quarters and dimes in a coin bank is $5.20. If the quarters were... (answered by lwsshak3)

A coin bank contains dimes and quarters. The total value of the coins is $10.40. If the... (answered by stanbon)

A man has 30 coins in his pocket, all of which are dimes (worth $ 0.10 each) (answered by Boreal)

A bag has 274 coins of nickels, dimes and quarters. There are twice as many nickels as... (answered by ikleyn,josgarithmetic,MathTherapy)

There are twenty coins consisting of dimes and quarters. If the dimes were quarters and... (answered by ikleyn,greenestamps)