Answer:
80 nickels and 60 quarters.
Step-by-step explanation:
The cashier counted a total of 140 quarters and nickel.
Let the number of nickels=n
Let the number of quarters=q
That means:
n+q=140. (1)
Now, A nickel=5 cents=$0.05
Similarly, 1 Quarter = 25 cents=$0.25
The coins total $19
Therefore:
0.05n+0.25q=19. (2)
We solve the two equations simultaneously.
n+q=140. (1)
0.05n+0.25q=19. (2)
From (1)
n=140-q
Next we substitute n=140-q into equation (2) to solve for q.
0.05(140-q)+0.25q=19
Opening the brackets
7-0.05q+0.25q=19
Collecting like terms
-0.05q+0.25q=19-7
0.2q=12
q=60
From Equation (1)
n=140-q
n=140-60=80
Therefore, there were 80 nickels and 60 quarters.
