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13 February, 09:20

Nelson has seven coins. All the coins are dimes and quarters. He has a total of $1.15. How many dimes and how many quarters does he have

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  1. 13 February, 12:22
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    4 dimes, 3 quarters

    Step-by-step explanation:

    Given that there are two variables with two different relationships, you can set up a system of equations and use the substitution method to first solve for one variable and then the other:

    d + q = 7

    0.10d + 0.25q = 1.15

    Solve for 'q' in the first equation: q = 7 - d

    Substitute the express '7 - d' for 'q' in the second equation:

    0.10d + 0.25 (7 - d) = 1.15

    Distribute: 0.10d + 1.75 - 0.25d = 1.15

    Combine like terms: 1.75 - 0.15d = 1.15

    Subtract 1.75 from both sides: - 0.15d = - 0.6

    Divide both sides by - 0.15: d = 4

    Solve for q: 3 + q = 7 or q = 4
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