Application of Systems

Pick the two equations that would create the system to solve: You mix a 14% acid solution with a 56% acid solution to get 60 liters of a 44% acid solution. How much of each solution is needed?

• x + y = .44(60)

• x + y = 60

• .14x + .56y = .44(60)

• .14x + .56y = .44

You bought 5 cream cheese bagels and 4 blueberry bagels for $6.45. Your friend bought 2 cream cheese bagels and 1 blueberry bagel for $2.44. How much does each cost? (Select the two equations that would create the system to help solve this question)

• 2x + y = 2.44

• 5x + 4y = 6.45

• y = 2x + 2.44

• x + y = 9

Pick the two equations that would create the system to solve: You mix a 4% acid solution with a 60% acid solution to get 120 liters of a 10% acid solution. How much of each solution is needed?

• .4x + .6y = .1(120)

• x + y = 120

• .04x + .6y = 12

• .4x + .06y = 120(.1)

A bag of dimes and pennies has a total of 88 coins. If the dimes are 2 less than three times the pennies, find the number of pennies. (Select the two equations)

• .10d + .01p = 88

• d = 3p -2

• d + p = 88

• d = 2p - 3

Solve the system.

• (2, -2, 3)

• (2, 1, 4)

• (-2, 2, -3)

• No Solution

Solve the system.

• (1, 2, -2)

• (1, -3, -2)

• (-1, 3, 2)

• No Solution

Solve the system. 

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

Solve the system.

• (3, -2, 4)

• (2, -3, 1)

• (-3, 2, -1)

• Infinitely many solutions

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, how many of each type of ticket were sold?

• S + A = 530
  3S + 4A = 1740

• S + A = 530
  4S + 3A = 1740

• S + A = 1740
  3S + 4A = 530

• S + A = 1740
  4S + 3A = 530

Pilar had brochures printed for a new business venture. Pilar originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Pilar spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

• x+y=134

  x+y=120

• 3x+3y=134

  4x+3y=120

• 4x+3y=134

  3x+3y=120

• 7xy=134

  6xy=120