SOLUTION: how to solve this problem: A class contributed $19.00 in quarters and dimes to the Red Cross. In all their 100 coins. How many were there of each card?

Algebra.Com
Question 1078087: how to solve this problem:
A class contributed $19.00 in quarters and dimes to the Red Cross. In all their 100 coins. How many were there of each card?

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = number of dimes
Let = number of quarters
---------------------------------
(1)
(2) ( in cents )
-----------------------------------
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
-------------------------


and
(1)
(1)
(1)
-----------------------
There are 40 dimes and 60 quarters
-----------------------------------
check:
(2)
(2)
(2)
(2)
OK

RELATED QUESTIONS

A class contributed $11.40 in dimes and quarters to a welfare fund. In all, there were 60 (answered by fractalier)
A class contributed $19 in quarters and dimes to a local homeless shelter. In all there... (answered by TimothyLamb)
Kimiya has $5.65 in quarters and dimes. If she has 34 coins in all, find the number of... (answered by richwmiller)
Mackenzie has 19 coins in her pocket. They are all either dimes or quarters, totaling... (answered by Edwin McCravy)
If a person has 39 coins in their pocket all dimes and quarters that total to $6 dollars... (answered by jvan)
A jar contains $13.00 in quarters and dimes. If there are 100 coins in total, how many... (answered by mananth)
I am not sure how to set this word problem up in order to solve. Joan has a pocketful... (answered by rothauserc)
A coin purse contains 19 coins in nickels, dimes, and quarters. There are three times as... (answered by rwm)
a sum of money amounting to 3.70 consists of dimes and quarters. if there are 19 coins in (answered by JulietG)