Creating Linear Systems

Create a system to answer this:

Meal tickets at the circus cost $4.00 for children and $12.00 for adults. If 1,650 meal tickets were bought for a total of $14,200, how many children and how many adults bought meal tickets?

• c + a = 14200

  4c + 12a = 1650

• c + a = 1650

  c + a = 14200

• 1650 + c = 14200

  4 + 12 = a

• c + a = 1650

  4c + 12a = 14200

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A jar containing only nickels and dimes contains a total of 60 coins. The value of all the coins in the jar is $4.45. How many nickels and dimes are in the jar?

• n + d = 60

  0.05n + 0.10d = 4.45

• n + d = 4.45

  0.05n + 0.10d = 60

• n + d = 4.45

  0.10n + 0.05d = 60

• n + d = 60

  0.10n + 0.05d = 4.45

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Jamal is choosing between two truck-rental companies. The first, Keep on Trucking, Inc., charges an up-front fee of $20, then 59 cents a mile. The second, Move It Your Way, charges an up-front fee of $16, then 63 cents a mile. When will Keep on Trucking, Inc. be the better choice for Jamal?

• 0.59m + 0.63m = C

  20 + 16 = C

• C = 0.59m + 20

  C = 0.63m + 16

• 59m + 63m = C

  20 + 16 = C

• C = 59m + 20

  C = 63m + 16

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The admission fee at an amusement park is $2.75 for children and $7.00 for adults. On a certain day, 302 people entered the park, and the admission fees collected totaled $1638. How many children and how many adults were admitted?

• c + a = 302

  2.75c + 7a = 1638

• c + a = 1638

  2.75c + 7a = 302

• c + a = 1638

  c + a = 302

• 2.75 + 7 = c

  a + 302 = 1638

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The cost of 3 large candles and 5 small candles is $6.40. The cost of 4 large candles and 6 small candles is $7.50. Which pair of equations can be used to determine, L, the cost of a large candle, and S, the cost of a small candle?

• 3L + 5S = 6.4

  4L + 6S = 7.5

• L + S = 6.4

  4L + 6S = 7.5

• 3L + 5S = 6.4

  L + S = 7.5

• 5L + 3S = 6.4

  6L + 4S = 7.5

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The total height of a building, b, and the antenna tower on top o f it, is 425 feet. The difference in heights of the building and the antenna tower is 324 feet. What is the height of the antenna tower?

• b - t = 425

  b + t = 324

• b + t = 425

  b - t = 324

• b + t = 425

  b + t = 324

• b - t = 425

  b - t = 324

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At the baseball stadium, four hot dogs and three bags of candy cost $14.37. Twelve hot dogs and nine bags of candy cost $24.74. What does a hot dog cost?

• 12h + 9c = 24.74

  4h + 3c = 14.37

• 4h + 3c = 24.74

  12h + 9c = 14.37

• h + c = 24.74

  4h + 3c = 14.37

• 4h + 3c = 24.74

  h + c = 14.37

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You have 42 coins valued at $3.00. Some of the coins are dimes and some are quarters. Find the number of each you have.

• q + d = 42

  0.10q + 0.25d = 3

• d + q = 3

  0.10d + 0.25q = 42

• d + q = 3

  0.25d + 0.10q = 42

• q + d = 42

  0.25q + 0.10d = 3

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Your teacher announced a 50 point math quiz tomorrow. The quiz will have 15 questions with some questions worth 4 points each (x) and some 3 points each (y). Find the number of 4 point questions.

• x + y = 15

  3x + 4y = 50

• x + y = 50

  4x + 3y = 15

• x + y = 15

  4x + 3y = 50

• x + y = 50

  3x + 4y = 15

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A craft store has 12 identical sacks of loose buttons. Each button is perfectly circular and is either solid black, b, or solid white, w. Each sack contains 9 more black buttons than white ones. The total number of buttons in all of the sacks is 372. How many buttons of each color are in 1 sack?

• b + w = 9

  12(b + w) = 372

• b - w = 9

  12(b + w) = 372

• w - b = 9

  12(b + w) = 372

• b + w = 9

  12(b + w) = 372