At a college football game, 4/5 of the scats in the lower deck of the stadium were sold. If one-fourth of all the seating in the stadium is located in the lower deck, and if 2/3 of all the seats in the stadium were sold, what fraction of the unsold seats in the stadium were in the lower deck?
Solution
Correct Answer: Option A
Solution:
অনুবাদঃ একটি ফুটবল খেলার Stadium এর Lower deck এর 4/5 অংশ বিক্রি হলো । যদি মোট সিটের 1/4 অংশ Lower deck এ অবস্থিত হয়
এবং Stadium এর মোট সিটের 2/3 অংশ সিট বিক্রি হয়, তাহলে Lower deck এর কত অংশ সিট অবিক্রিত থাকবে ?
এটি চার্টে করলে সহজ হবেঃ
এখানে \(\frac{4}{5},\frac{1}{4},\frac{1}{3}\) এর হর 5, 4, 3 এর ল. সা. গু. 60 ; তাই
মোট সীট সংখ্যা 60 ধরলে হিসাব সহজ হবে ।
| Sold | Unsold | মোট | |
| Lower Deck |
\(\frac{4}{5} \times 15\) = 12 |
15 - 12 = 3 |
\(\frac{1}{4} \times 60\) = 15 |
| Upper Deck | |||
| মোট |
\(\frac{2}{3} \times 60\) = 40 |
60 - 40 = 20 |
60 |
\(\frac{{Usnsold + LowerDeck}}{{Total Unsold}} = \frac{3}{{20}}\)
Shortcut: Let, total seat 400; Lower deck 100
Upper deck 300
Lower sold = \(100 \times \frac{4}{5}\) = 80
Lower unsold = 20
Total sold = \(400 \times \frac{2}{3}\)
Total unsold = \(400 - \frac{{800}}{3} = \frac{{400}}{3}\)
Unsold = \(\frac{{20}}{{\frac{{400}}{3}}} = 20 \times \frac{3}{{400}} = \frac{3}{{20}}\)
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