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6 May, 01:43

A piggy bank contains 35 coins.

Each coin is either a quarter or a dime.

Altogether, the coins have a value of $4.90.

Complete the table and write a system of equations to represent the number of each

type of coin.

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Answers (1)
  1. 6 May, 01:57
    0
    See below.

    Step-by-step explanation:

    Let d = number of dimes. Let q = number of quarters.

    d + q = 35

    A dime is worth 10 cents, or $0.1; d dimes are worth 0.1d.

    A quarter is worth 25 cents, or $0.25; q quarters are worth 0.25q.

    0.1d + 0.25q = 4.9

    The system of equation is

    d + q = 35

    0.1d + 0.25q = 4.9
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