A player holds 15 cards of four suits, of which eight are red and seven are black. The number of diamonds is twice the number of spades, and the number of hearts is equal to the number of diamonds. How many clubs does he hold?
Show answer & explanation
Correct answer: A
Explanation
Let spades = x
Diamonds = 2x
Hearts = 2x (same as diamonds)
So red cards = Hearts + Diamonds
= 2x + 2x = 4x
Given red cards = 8
So 4x = 8 ⇒ x = 2
Now:
Spades = 2
Diamonds = 4
Hearts = 4
Total = 15 cards
So clubs = 15 − (2 + 4 + 4) = 15 − 10 = 5
Hence, the correct answer is option 1.