SOLUTION: You have 8 coins consisting of nickels, dimes, and quarters and totaling 1.10. If the nickels and dimes along total 35 cents, how many quarters do you have? How many dimes? and ni

Question 763736: You have 8 coins consisting of nickels, dimes, and quarters and totaling 1.10. If the nickels and dimes along total 35 cents, how many quarters do you have? How many dimes? and nickels?

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of dimes you have
Let = number of dimes you have
Let = number of quarters you have
--------------
given:
(1)
(2) ( in cents )
(3)
--------------------
Substitute (3) into (2)
(2)
(2)
(2)
-------------
(1)
(1)
and,
(3)
(3)
Subtract (1) from (3)
(3)
(1)

and, since
(1)
(1)
(1)
There are 3 nickels, 2 dimes, and 3 quarters
check:
(2)
(2)
(2)
(2)
OK

RELATED QUESTIONS
Annie has a piggy bank consisting of quarters dimes and nickels. She has a total 74 coins (answered by josgarithmetic,math_tutor2020)

Annie has a piggy bank consisting of quarters dimes and nickels. She has a total 74 coins (answered by josgarithmetic)

I have a total of 35 coins consisting of dimes and nickels. THe value of these coins is... (answered by stanbon!)

You have a spare change jar containing 22 coins consisting of nickels, dimes and... (answered by ankor@dixie-net.com)

you have one hundred coins in your coin jar, consisting of nickels, dimes and quarters.... (answered by Alan3354)

Irving has 35 coins, consisting of only dimes and nickels. If the value of his coins is... (answered by mananth)

Gavin has nickels,dimes,and quarters in the ratio 8:1:2.If 30 of Gavin's coins are... (answered by stanbon)

How many different amounts of money could you have if you have 3 coins consisting of... (answered by northern)

You have 31 coins consisting of nickels and dimes. The coins total $2.25. How many coins (answered by solver91311)