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

Tags

CCSS.8.EE.C.8C

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

Tags

CCSS.8.EE.C.8C

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)

The perimeter of rectangle is 450 cm. If the length is 8 less than 4 times the width, what is the length and width? (Pick the two equations)

• l + w = 450

• l = 8 - 4w

• 2l + 2w = 450

• l = 4w - 8

Tags

CCSS.8.EE.C.8C

George purchased a science textbook and a novel. He spent a total of $108. The textbook was 6 dollars more that twice the cost of the novel. (find the two equations to help solve this system, n = cost of novel, t = cost of text)

• t + n = 108

• t - 8 = 108

• t = 2n + 6

• n = 2t + 6

Tags

CCSS.8.EE.C.8C

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

Tags

CCSS.8.EE.C.8C