Kavitha collected 8 small creatures in all — spiders (with 8 legs each) and…
2020
Kavitha collected 8 small creatures in all — spiders (with 8 legs each) and beetles (with 6 legs each). When she counted the legs, she found that there were altogether 54. Which of the following is/are true?
(A) She collected 5 spiders
(B) She collected 3 spiders
(C) She collected 5 beetles
(D) She collected 3 beetles
Choose the correct answer from the options given below :
- A.
(A) and (C) only
- B.
(A) and (D) only
- C.
(B) and (D) only
- D.
(B) and (C) only
Attempted by 8 students.
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Correct answer: D
Let s be the number of spiders and b the number of beetles. Kavitha collected 8 creatures in all, so s + b = 8. Spiders have 8 legs and beetles have 6 legs, and the total is 54, so 8s + 6b = 54. Substitute b = 8 - s: 8s + 6(8 - s) = 54, which gives 2s + 48 = 54, so s = 3 and b = 5. Therefore she collected 3 spiders and 5 beetles, making statements (B) and (C) true.