Alg 6.5 Coin Problems

If Jane has 36 coins totaling $3.00, and the coins are all nickels and quarters, how many of each coin does she have?

Which equations can you set up for this problem? Select 2

• N + Q = 3.00

• N + Q = 36

• 0.05N + 0.25Q = 36

• 0.5N + 0.25Q = 3.00

• 0.05N + 0.25Q = 3.00

Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have? Which system best represents the situation?

• x + y = 1430

  20x + 50y = 49

• x + y = 49

  10x + 5y = 1430

• x + y = 49

  20x + 50y = 1430

• x + y = 49

  x + y = 1430

In a child’s bank are 11 coins that have a value of $1.85. The coins are either quarters and dimes.

Which equations can you set up for this problem? Select 2

• Q + D = 11

• 25Q + 10D = 185

• 25Q + 10D = 11

• Q + D = 185

The number of Lily's nickels is three times as much as her quarters. The total value of her coins is $3.20. Which two equations represent this system of equations?

• N = 3Q

• Q = 3N

• 5N + 25Q = $3.20

• 5N + 25Q = 320

• .5 + .25Q = 320

Ben has $11.80 in nickels and dimes. Ben has 8 more nickels than dimes. Which two equations represent this situation?

• D = N + 8

• 10N + 5D = 1180

• 5N + 10D = 1180

• N = D + 8

• 5N + 10D = $11.80

Zoe has twice as many dimes as quarters. The coins have a total value of $8.10. Which equations represent this situation?

• D = 2Q

• Q = 2D

• Q = D + 2

• 2D + Q = 810

• 10D + 25Q = 810

A collection of quarters and dimes is worth $6.75. the number of dimes is 4 less than 3 times the number of quarters. Which two equations represent this situation?

• D = 3Q - 4

• 25Q + 10D = 675

• Q = 3D - 4

• D = 4 - 3Q

• 25Q + 10D = 6.75

Paul has 30 coins in dimes and quarters. Their total value is $6.00. Which equations represent this situation?

• DQ = 30

• 10D + 25Q = 30

• D + Q = 30

• .10D + .25Q = $6.00

• .10D + .25Q = 600