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infinitelyrenn infinitelyrenn
  • 24-05-2015
  • Mathematics
Answered

A collection of dimes and nickels is worth $6.90. There are 96 coins in all.


How many of each coin are there?

Verified Answer :

Giovi
Giovi Giovi
  • 24-05-2015

Nickels=54

Dimes=42


Considering that: 1 Nickel = $0.05 and 1 Dime =$0.1 you can write two
equations:

0.05N+0.1D=6.9

N+D=96

Where N is the number of Nickels and D the number of Dimes.

Solving the system formed by the two equations (for substitution, for example)
you get your result.


Answer Link
cclemeno cclemeno
  • 25-05-2015

LET X= NICKELS
96-X= DIMES
MULTIPLY EACH NY THEIR MONETARY VALUE

5X+10(95-X)= 690
5X+960-10X= 690
-5X+960= 690
-5X= -270
X= 54
96-54= 42

ANSWER 54 NICKELS
42 DIMES

HOPE THIS HELPS

Answer Link

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