Systems of Equations Coin Problems Honors

Carlee mowed her next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job she counted out the coins and it came to $6.60. How many nickels and dimes did Carlee earn?

• 40 nickels, 40 dimes

• 52 nickels, 28 dimes

• 28 nickels, 52 dimes

• 30 nickels, 50 dimes

Tags

CCSS.8.EE.C.8C

Preston has coins consisting of nickels and dimes 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 he have?

• 20 nickels

  3 dimes

• 20 nickels

  39 dimes

• 13 nickels

  10 dimes

• 12 nickels

  10 dimes

WRITE THE SYSTEM.

Christy has a coin collection consisting of nickels and dimes. She has 28 coins worth $2.25. How many of each coin does Christy have?

• N + D = 225

  5N + 10D = 28

• N + D = 28

  N + D = 225

• 5N + 10D = 28

  5N + 10D = 225

• N + D = 28

  5N + 10D = 225

Tags

CCSS.8.EE.C.8C

WRITE THE SYSTEM.

You have a money jar containing nickels and quarters worth $1.55. The money jar contains 11 coins. How many of each coin do you have?

• N + Q = 11

  5N + 25Q = 155

• N + Q = 155

  5N + 25Q = 11

• N + Q = 11

  N + Q = 155

• 5N + 25Q = 11

  5N + 25Q = 155

Tags

CCSS.8.EE.C.8C

WRITE THE SYSTEM.

Pat has collected $12.35 worth of nickels and dimes. The total number of coins collected is 170. How many of each coin is in Pat’s collection?

• N + D = 170

  N + D = 1235

• 5N + 10D = 170

  5N + 10D = 1235

• N + D = 170

  5N + 10D = 1235

• N + D = 1235

  5N + 10D = 170

Tags

CCSS.HSA.CED.A.3

Tania had 35 coins in pennies and nickels. She had $1.03. Which system of equations could be used to determine the number of coins she has?

• .01p + .05n = 35

  p + n = 103

• 1p + 5n = 1.03

  p + n = 35

• .01p + .05n = 1.03

  p + n = 35

• .05p + .01n = 1.03

  p + n = 35

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

You have a total of 17 coins.  All of your coins are nickels and dimes.  The total value of the coins is $1.35.  Which system of equations represents this situation?

• n+d=17
  .05n+.10d=1.35
• .05n+.10d=17
  n+d=1.35
• .25n+.10d=1.35
  n+d=17

Tags

CCSS.HSA.CED.A.3

I have a total of $2.25 in dimes and nickels. I have twice as many dimes as nickels.

Which system of equations could be used to determine how many of each kind of coin I have?

Let d = number of dimes I have and

n = number of nickels I have.

• 0.10d + 0.05n = 2.25

  d = 2n

• 0.05d + 0.10n = 2.25

  d = 2n

• 0.10d + 0.05n = 2.25

  n = 2d

• 0.05d + 0.10n = 2.25

  n = 2d

Tags

CCSS.HSA.CED.A.3

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. Write a system of equations could be used to find d, the number of dimes, and n, the number of nickels.

• d + n = 6.60

  .10d + .05n = 80

• d + n = 80

  d + n = 6.60

• d + n = 80

  .10d + .05n = 6.60

• d + n = 80

  .05d + .10n = 6.60

Tags

CCSS.8.EE.C.8C

Lizzy has 30 coins that total $4.80. All of her coins are dimes, D, and quarters, Q. Which system of equations models this situation?

• D + Q = 4.80

  0.10D + 0.25Q = 30

• D + Q = 30

  0.10D + 0.25Q = 4.80

• D + Q = 30

  0.25D + 0.10Q = 4.80

• D + Q = 4.80

  0.25D + 0.10Q = 30

Tags

CCSS.HSA.CED.A.3