Algebra Puzzle – Challenge 36
Time to challenge and tease your brain with another great mathematics challenge. If you couldn't solve it, don't worry! Even some very smart people have a hard time solving this puzzle!
Challenge:
In a small farm, there are 8 hens, 5 chickens, and 4 roosters. A hen eats 2.5 times of a chick and a rooster eats 1.5 times a hen. If all together eat 4000 seeds per day, how many seeds does a hen eat during one day?
A- 250
B- 280
C- 300
D- 350
E- 400
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The correct answer is E.
Let H represents the number of seeds a hen eats each day, C represents the number of seeds a chicken eats each day and R represents the number of seeds a rooster eats each day. Therefore,
H + C + R = 4205
H = 2.5 C and R = 1.5 H→R = 1.5 (2.5 C) →R = 3.75 C
Replace the value of H and R in the first equation with their values in the second and third equations:
2.5 C + C + 3.75 C = 4205 → 7.25 C = 4205 → C = 580
H = 2.5 C → H = 2.5 (580) = 1450
A hen eats 1450 seeds in one day.
Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.
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