Question

A politician wants to distribute campaign flyers to 8000 homes in his district. The color flyers cost him $0.08 each, and the black and white flyers cost $0.05 each. He has $500 to spend on printing. What is the maximum number of color flyers he can buy (and still deliver flyers to all 8000 homes)?

Answer 1

Given:
8000 homes
color flyers : $0.08 each
black and white flyers : $0.05 each
budget of $500

c + b = 8,000
0.08c + 0.05b = 500

c = 8,000 - b
0.08(8,000 - b) + 0.05b = 500
640 - 0.08b + 0.05b = 500
-0.03b = 500 - 640
-0.03b = -140
b = -140 / -0.03
b = 4,667 black and white flyers

c = 8,000 - b
c = 8,000 - 4,667
c = 3,333 colored flyers

0.08(c) + 0.05(b) = 500
0.08(3,333) + 0.05(4,667) = 500
266.64 + 233.35 = 500
499.99 = 500
500 = 500