Seven times the number of quarters in a coin collection is the same as three times the number of quarters increased by 20. How many quarters

Question

Seven times the number of quarters in a coin collection is the same as three times the number of quarters increased by 20. How many quarters in the collection

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Dulcie 4 years 2021-07-30T20:39:49+00:00 2 Answers 8 views 0

Answers ( )

  1. Maris
    0
    2021-07-30T20:41:09+00:00
    Reply

    Answer:

    5

    Explanation:

    Let P be the number of quarters in a coin collection.

    Seven times the number of quarters in a coin collection is expressed as;

    7×P

    = 7P… (1)

    Also three times the number of quarters can be expressed as 3P. If this value is increased by 20, the resulting expression will be;

    3P+20 (increment means addition)…(2)

    If the two expression are the same then equation 1 = equation 2 i.e

    7P = 3P + 20

    7P-3P = 20

    4P = 20

    P = 20/4

    P = 5

    Therefore the number of quarters in the coin collection is 5

  2. linhdan
    0
    2021-07-30T20:41:33+00:00
    Reply

    Answer:

    There are 5 quarters in each collection.

    Explanation:

    Let the number of quarters in a collection be x.

    7 times the number of quarters in a collection = 7*x = 7x

    3 times the number of quarters in a collection = 3*x = 3x

    Increasing 3x by 20 = 3x + 20

    Therefore:

    7x = 3x + 20

    => 7x – 3x = 20

    4x = 20

    x = 20/4 = 5

    Therefore, there are 5 quarters in each collection.

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