Question 13 of 23intermediate🔧 ApplyNumerical3 marks

Last year, we hired 3 buses for the school trip. We had a total of 162 students and teachers who went on that trip and all the buses were full. This year we have 204 students. How many buses will we need? Will all the buses be full?

Correct Answer

Given:

  • Last year: 3 buses, 162 students and teachers, all buses full
  • This year: 204 students

Step 1: Capacity per bus = 162 ÷ 3 = 54 people

Step 2: Buses needed for 204 people = 204 ÷ 54 = 3.78

Step 3: Since we can't have a fraction of a bus, we need 4 buses

Step 4: People in first 3 buses = 3×543 \times 54 = 162

Step 5: People in fourth bus = 204 - 162 = 42

Step 6: The fourth bus will not be full (42 < 54)

Answer: We will need 4 buses. No, all buses will not be full. The fourth bus will have only 42 people.

Exercise: Figure it Out (Section 4) | Q: 2 | (Chapter: Page 18)
For More Understanding

Explanation

First find capacity of each bus, then determine how many buses are needed for 204 people.

Solution Steps

  1. Step 1: Capacity per bus = 162 ÷ 3 = 54 people

  2. Step 2: Buses needed for 204 people = 204 ÷ 54 = 3.78

  3. Step 3: Since we can't have a fraction of a bus, we need 4 buses

  4. Step 4: People in first 3 buses = 3×543 \times 54 = 162

  5. Step 5: People in fourth bus = 204 - 162 = 42

  6. Step 6: The fourth bus will not be full (42 < 54)

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