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20 December, 11:16

At the end of the day a cashier counted 140 quarters and nickels in the register. The coins total 19 dollars. How many coins of each kind was in the register?

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  1. 20 December, 11:33
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    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.
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