Civil Service Exam Reviewer · Word Problems · hard
If students sit 4 to a bench, 12 students have no seat. If they sit 5 to a bench, 3 bench(es) are left empty. How many students are there?
- 27
- 120
- 135
- 108
Answer
B. 120
Solution
Let b = benches: 4b + 12 = 5(b − 3) → b = 27. Students = 4(27) + 12 = 120.
More Word Problems questions
- Marco can finish a job in 10 days, Sofia in 12 days, and a third worker in 15 days. How long will the job take if all three work together?
- What is the smaller angle between the hour and minute hands of a clock at 12:45?
- A train 120 m long travels at 108 km/h. How long does it take to completely cross a bridge 360 m long?
- ₱240,000 was invested, part at 6% and the rest at 10% simple annual interest. The total interest after one year was ₱15,600. How much was…
- The sum of the digits of a two-digit number is 10. If the digits are reversed, the new number is 36 less than the original. What is the…
- The sum of the ages of Liza and Ana is 53. 9 years ago, Liza was 4 times as old as Ana. How old is Ana now?
- Tess leaves a town driving at 50 km/h. 1 hour(s) later, Ben leaves the same town on the same road at 70 km/h. How long after Ben starts…
- Joy can finish a job in 19 days and Tess in 13 days. They work together for 1 day(s), then Tess leaves. How many days in all does it take…
- A pipe can fill a tank in 4 hours, while a drain can empty it in 6 hours. If both are open, how long will it take to fill the empty tank?
- A school play sold 118 tickets: adult tickets at ₱200 and student tickets at ₱60. Total sales were ₱18,000. How many adult tickets were…