System of Equations with Dimes, Nickels, Quarters

A cashier has 25 coins consisting of nickels, dimes, and quarters with a value of $4.90. If the number of dimes is 1 less than twice the number of nickels, how many of each type of coin does she have?

• nickels is 20

  dimes is 3

  quarters is 2

• nickels is 3

  dimes is 5

  quarters is 17

• nickels is 13

  dimes is 10

  quarters is 2

• nickels is 12

  dimes is 10

  quarters is 3

A coin collector has 31 dimes and nickels with a total value of $2.40. How many of each coin does he have?

• x + y = 31

  10x + 5y = 2.40

• x - y = 31

  .10x + .05y = 2.40

• x + y = 31

  .10x + .05y = 2.40

• x + y = 2.40

  .10x + .05y = 31

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels?

• d + n = 6.60

  10d + 5n = 80

• d + n = 80

  d + n = 6.60

• d + n = 80

  .10d + .05n = 6.60

• d + n = 80

  .05d + .10n = 6.60

Laura has $.95 in dimes and nickels. She has a total of 11 coins. how many of each type does she have?

• d + n = 11

  .10d + .05n = 0.95

• d + n = 11

  10d + 5n = 0.95

• d + n = .95

  .10d + .05n = 11

• d - n = 11

  .10d - .05n = 0.95

John has 14 coins that have a total of $2.30 The coins are nickels and quarters. How many of each coin does he find?

• N + Q = 14

  .05N + .25Q = 2.30

• N - Q = 14

  5N + 25Q = 2.30

• N + Q = 2.30

  .05N + .25Q = 14

• N - Q = 14

  .05N + .25Q = 2.30

Renee has $3.75 in dimes and quarters. The number of quarters is two less than three times the number of dimes. Write a system to represent the situation.

• d + .25q = 3.75

  q = 2d - 3

• .1d + .25q = 3.75

  q = 3d + 2

• .1d + .25q = 3.75

  q = 3d - 2

• .01d + .25q = 3.75

  q = 3d + 2

A collection of thirty-five coins contains nickels and dimes. The total face value of the coins is $2.55. Write a system of equations.

• .05n + .1d = 35

  .05n + .1d = 2.55

• n + d = 2.55

  .05n + .1d = 35

• n + d = 35

  5n + 10d = 2.55

• n + d = 35

  .05n + .1d = 2.55

Coach Anthony's safe contains 124 coins worth $30.00. All the coins are either dimes, nickels, or quarters. There are 2 times as many dimes than nickels. How many of each are in the safe?

• 2 dimes, 4 nickels, 118 quarters

• 4 dimes, 2 nickels, 118 quarters

• 118 dimes, 4 nickels, 2 quarters

• 2 dimes, 118 nickels, 4 quarters