The Panda Bear Problem
Algebra
Level
2
12 hungry adult pandas can eat 15120 kilograms of bamboo in 10 weeks and three baby pandas can eat half the same amount of bamboo in 30 weeks. Four pandas in a zoo need to be fed 60 kg of bamboo daily. How many baby pandas does the zoo have?
3
1
4
2
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1 solution
Let........
pa = number of adult panda
pb =number of baby panda
(12pa) *(10weeks) * (7days) = 15120 kg
(1pa) * (1 day) = 1 2 ∗ 1 0 ∗ 7 1 5 1 2 0 = 18 kg
1 pa can eat 18 kg bamboo in 1 day....
(3pb) * (30 weeks) * (7days) = 15120/2 kg
(1pb) * (1 day) = 2 ∗ 7 ∗ 3 0 ∗ 3 1 5 1 2 0 = 12 kg
1 pb can eat 12 kg bamboo in 1 day......
now according to given data,
four pandas are fed 60 kg bamboo in total....
18 pa + 12 pb = 60.....
pa and pb being integers can take integral values only............
clearly.......pa = 2.....&........pb = 2...........
hence......no of baby pandas are 2.