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) ?

Question

Mathematics

Kayley Cabrera

10 January, 11:41

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) ?

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Answers (1)

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Esther · 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