SOLUTION: Katie has 30 coins. Some are dimes and some are nickels. In all she has $2.10. How many nickels and dimes does she have?

Question 536473: Katie has 30 coins. Some are dimes and some are nickels. In all she has $2.10. How many nickels and dimes does she have?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of dimes
Let = number of nickels
given:
(1)
(2) ( in cents )
-----------------
Multiply both sides of (1) by
then subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
(1)
She has 12 dimes and 18 nickels
check:
(2)
(2)
(2)
OK
RELATED QUESTIONS
mckenna has 21 coins worth $2.50. some are nickels, some are dimes, and some are... (answered by TimothyLamb)

Kandi has $2.65 in nickels and dimes. If she has 40 coins in all, how many nickels does... (answered by AnlytcPhil,funmath)

Kandi has $2.65 in nickels and dimes. If she has 40 coins in all, how many nickels does... (answered by checkley71)

nickels and dime are worth 7.00 she has 88 coins how many dimes does she... (answered by stanbon)

Lisa has 45 coins that are worth a total of $3.50. If the coins are all nickels and... (answered by josmiceli)

yolanada has some coins in nickels and dimes. She has six times as many nickels as... (answered by josmiceli)

Sally has 100 coins all of which are dimes, nickels, and quarters. She has $13.00 in... (answered by CubeyThePenguin)

Jim has a total of 50 coins. Some are nickels and some are dimes. Altogether he has... (answered by josmiceli)

Nancy has 30 coins (all nickels and dimes) she has 5 times as many nickels as dimes how... (answered by ewatrrr)