System of Equation Quiz #1

Mr. Awe has 32 nickels and dimes. The total of the money is $2.95. How many coins of each type does Mr. Awe have?

• n + d = 32

  5n + 10d = 2.95

• n + d = 32

  .5n + .10d = 2.95

• n + d = 32

  .05n + .10d = 2.95

• .05n + .10d = 32

  n + d = 2.95

Mrs. Awe has $145 in five dollar bills and 10 dollar bills. She has a total of 20 bills. How many does she have of each type?

• n + d = 20

  5n + 10d = 145

• n + d = 20

  .05n + .10d = 145

• 5n + 10d = 20

  5n + 10d = 145

• n + d = 145

  5n + 10d = 145

Mr. Kaviuk has $467 in $5 bills and $1 bills. He has a total of 147 bills. How many of each kind does Nick have?

• x + y = 467

  5x + 1y = 147

• x + y = 147

  5x + 1y = 467

• x + y = 467

  5x + 1y = 141

• x + y = 147

  5x + 1y = 147

The concession stand sells popcorn for $2 and pop for $3. If they sell a total of 90 things for a total of $238, now many of each did they sell?

• 2x + y = 238

  x + y = 90

• 2x + 3y = 238

  x + y = 900

• 2x + 3y = 238

  x + y = 90

• 2x + 3y = 238

  x - y = 90

Rolando's Sporting Goods sells red sleeping bags for $79

and blue sleeping bags for $90.

If he sells a total of 120 sleeping bags for a total of $8080,

how many sleeping bags of each color did they sell?

• x + y = 79

  x + y = 90

• x + y = 79

  79x + 90y = 8080

• x + y = 120

  79x + 90y = 8080

• x + y = 8080

  79x = 90y

The sum of two numbers is 76. The difference of two numbers is 5. What are the numbers?

• x + y = 5

  x - y = 76

• x + y = 76

  x - y = 5

• x + y = 76

  x/y = 5

• x + y = 5

  x/y = 76

Two times the first number plus two times the second number is 52. The diference of the two numbers is 6.5. What are the numbers?

• 2x + 2y = 75

  x - y = 6.5

• 2x + 2y = 75

  x / y = 6.5

• 2x + 75 + 2y = 75

  x - y = 6.5

• x + y = 75

  x - y = 6.5

Two times a number plus three times a number is 82. The sum of the numbers is 26. What are the numbers?

• 2x + 2y = 82

  x + y = 26

• 2x + 3y = 82

  x = y = 26

• 2x + 3y = 82

  x + y = 26

• 2x + 3y = 82

  xy = 26

Mr. Dowty buys three kayaks and two canoes for $175. Mr. Boyle buys two kayaks and one canoe for $100. What is the price of one kayak and one canoe?

• 3x + 2y = 175

  x + 2y = 100

• 3x - 2y = 175

  2x + y = 100

• 3x + 2y = 175

  x + y = 100

• 3x + 2y = 175

  2x + y = 100

Five hot dogs and 3 bags of popcorn cost $21 while eight hot dogs and 5 bags of popcorn cost $34. How much for one hot dog? How much for one bag of popcorn?

• 5x + 3y = 21

  5x + 8y = 34

• 5x + 2y = 21

  8x + 5y = 34

• 5x + 3y = 21

  8x + 5y = 34

• 5x + 3y = 21

  8x - 5y = 34