A politician wants to distribute campaign flyers to 8000 homes in his district. The color flyers cost him $0.08 each, and the bl
ack 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)?
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
