Question 35 of 44intermediate🔧 ApplyNumerical4 marks

9 boats have to ferry 108 people waiting along the banks of the Cauvery River. Every boat carries the same number of people. How many people should be ferried in each boat?

Correct Answer

Given: Total people = 108, Number of boats = 9

Formula: People per boat = Total people ÷ Number of boats

Substitution: People per boat = 108 ÷ 9

Calculation (Partial Quotients): 9×59 \times 5 = 45 people (108 - 45 = 63 left) 9×59 \times 5 = 45 people (63 - 45 = 18 left) 9×29 \times 2 = 18 people (18 - 18 = 0 left) Total per boat = 5 + 5 + 2 = 12 people

Answer: Each boat should ferry 12 people.

Exercise: More Division | Q: 1 | (Page Page 18)
For More Understanding

Explanation

The chapter demonstrates division using the partial quotient method for 108 ÷ 9. If 5 people sit in each boat: 9 boats × 5 = 45 people (63 left). If 5 more people sit: 9×59 \times 5 = 45 more (18 left). If 2 more people sit: 9×29 \times 2 = 18 (0 left). Total per boat = 5 + 5 + 2 = 12 people.

Solution Steps

  1. Step 1: Total people = 108, Number of boats = 9

  2. Step 2: People per boat = 108 ÷ 9

  3. Step 3: If 5 people per boat: 9×59 \times 5 = 45 people (108-45=63 left)

  4. Step 4: If 5 more per boat: 9×59 \times 5 = 45 people (63-45=18 left)

  5. Step 5: If 2 more per boat: 9×29 \times 2 = 18 people (18-18=0 left)

  6. Step 6: Total per boat = 5 + 5 + 2 = 12 people

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