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26 February, 22:21

Suppose you have 20 coins that total $3.00. Some coins are nickels and some are quarters. Which of the following pairs of equations would you use to find out how many of each coin you have?

A. n + q = 30

5n + 25q = 20

B. n + q = 30

n + q = 3.00

C. n + q = 3.0020

0.05n + 0.25q = 3.00

D. n + q = 20

5n + 25q = 300

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  1. 26 February, 22:50
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    Answer: D. n + q = 20

    5n + 25q = 300

    Step-by-step explanation:

    Let n represent the number of nickels that you have.

    Let q represent the number of quarters that you have.

    Suppose you have 20 coins. It means that

    n + q = 20

    The total value of the coins is $3. The value of a quarter is $0.25 and the value if a nickel is $0.05. Therefore, the equation would be

    0.05n + 0.25q = 3

    Multiplying both sides of the equation by 100, it becomes

    5n + 25q = 300

    The correct option is

    D. n + q = 20

    5n + 25q = 300
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