Package a contains 3 birthday cards and 2 you notes and costs $18. package b contains 8 birthday cards and 6 you notes and costs $50. if x represents the cost of a birthday card and y represents the cost of a you note, how much does each birthday card cost?

Given:

Package A

Birthday cards = 3

Thank you notes = 2

Costs = $18

Package B

Birthday cards = 8

Thank you notes = 6

Costs = $50

Required:

x = birthday card cost

y = thank you notes cost

Solution:

Package A:

18 = 3x + 2y

Package B:

50 = 8x + 6y

Second, add the two equations using elimination method.

To find y eliminate x;

[8 (18 = 3x + 2y)] + [-3 (50 = 8x + 6y)]

(144 = 24x + 16y) + [-150 = -24x + (-18y)]

-6 = -2y

Divide both sides with -2.

y = 3 thank you notes cost

Next, let us find x by substituting the value of y.

(18 = 3x + 2y) + (50 = 8x + 6y)

[18 = 3x + 2(3)] + [50 = 8x + 6(3)]

(18 = 3x + 6) + (50 = 8x + 18)

68 = 11x + 24

68 – 24 = 11x

44 = 11x

Divide both sides with 11.

X = 4 birthday card cost

what is a theme?

ans: the implicit idea of a written work of literature is called a theme.

so, the only theme of "birdfoot's grampa" by joseph bruchuc is that as a human being one should always remember the value of every life on earth.

the grampa is stopping the car again and again to save those little toads from washing away in the heavy rain is an act of kindness and humanity.