Thank you in advance for helping me.

Thank you in advance for helping me.

N = number of nickels

D = number of dimes

Q = number of quarters

N = 2D + 1

Q = 44 - (D + N)

Q = 44 - (D + (2D + 1)

Q = 44 - (3D + 1)

Q = 44 - 3D - 1

Q = 43 - 3D

0.05N + 0.10D + 0.25Q = 4.20

0.05(2D + 1) + 0.10D + 0.25(43 - 3D) = 4.20

0.10D + 0.05 + 0.10D + 10.75 - 0.75D = 4.20

-0.55D + 10.80 = 4.20

-0.55D = -6.60

D = -6.60/-0.55

D = 12 <<<<<<<<<<<<<<<<<<<<<< number of dimes

N = 2D + 1

N = 2(12) + 1

N = 25 <<<<<<<<<<<<<<<<<<<<<< number of nickels

Q = 44 - D - N

Q = 44 - 12 - 25

Q = 7 <<<<<<<<<<<<<<<<<<<<<< number of quarters

$D = 0.10 * 12 = $1.20

$N = 0.05 * 25 = $1.25

$Q = 0.25 * 7 = $1.75

--------

$4.20

It all checks.

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