SOLUTION: Rebecca has 45 coins, all nickles and dimes. The total value of the coins is 3.60. How many of each type of coin does Rebecca have?

Algebra.Com
Question 538164: Rebecca has 45 coins, all nickles and dimes. The total value of the coins is 3.60. How many of each type of coin does Rebecca have?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = number of nickels
Let = number of dimes
given:
(1)
(2)
-------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)


and, since
(1)
(1)
(1)
(1)
She had 18 nickels and 27 dimes
check:
(2)
(2)
(2)
OK

RELATED QUESTIONS

Megan has a total of 26 coins. The coins are dimes and nickles and have a total value of... (answered by emargo19)
Linda has 11 coins, all nickles and dimes. if the coins are worth 70 cents, how many of... (answered by ikleyn)
Richard has 22 coins with a total value of $4. If the coins are all quarters and dimes,... (answered by ankor@dixie-net.com)
mark has 42 coins consisting of dimes and quarters. the total value of his coins is $6.... (answered by lynnlo)
Sonja has some nickles and dimes. If she has 30 coins worth a total value of $2.00, how... (answered by ankor@dixie-net.com)
Bubba has 20 American coins, all quarters (25 cent coins) and dimes (10 cent coins). If (answered by ikleyn)
Rebecca is saving up for a vacation. She has a jar of coins containing nickels and dimes... (answered by richwmiller)
felix has 35 coins consisting of dimes and nickles. If the value of his coins is $3.30,... (answered by jchambliss)
bennys collection of nickles and dimes is worth $2.00. He has 22 total coins. How many of (answered by Abbeyneedshelp!)