SOLUTION: 0.10x+(40-x)0.25=6.70 Joe has $6.70 in quarters and dimes. If there are forty 40 coins in all, how many of each kind are there?

Question 403234: 0.10x+(40-x)0.25=6.70
Joe has $6.70 in quarters and dimes. If there are forty 40 coins in all, how many of each kind are there?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The way I do it is:
Let = number of dimes
Let = number of quarters
-------------------------
given:
(1)
(2) (in cents)
--------------------------
Multiply both sides of (1) by , and
subtract (1) from (2)
(2)
(1)

and, from (1),

There are 22 dimes and 18 quarters
check answer:
(2)
(2)
(2)

OK
RELATED QUESTIONS
A purse contains $7.60 in quarters and dimes. In all, there are 40 coins. How many coins... (answered by Alan3354,fion6002)

Please help me solve: There are 50 dimes in a roll of dimes, 40 nickles in a rold of... (answered by Alan3354,ankor@dixie-net.com)

a collection of nickels and quarters has a total value of $6.40. If there are forty coins (answered by oberobic)

A box contains $7.70 in nickels, dimes, and quarters. There are 45 coins in all, and the... (answered by josgarithmetic)

RAY HAS $7.60 IN QUARTERS AND DIMES. IN ALL, HE HAS 40 COINS. HOW MANY COINS OF EACH KIND (answered by checkley71)

Ray has $7.60 in quarters and dimes. In all, he has 40 coins. How many coins of each kind (answered by jpg7n16)

Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How... (answered by jim_thompson5910)

Olivia has $3.30 in her bank in nickels, dimes, and quarters. If there are thre times as... (answered by josgarithmetic)

In Anna's pocket, there is $16.20 in quarters, nickels, and dimes. In all, there are 97... (answered by ankor@dixie-net.com)