Question 17 of 42intermediate🔧 ApplyNumerical4 marks

She wonders how many coaches will be needed for the 324 children from her school. Remember, each coach can seat only 14 children. We have to find 324÷14324 \div 14. What do we do with the remaining 2 children?

Correct Answer

Given: 324 children need transportation, each coach seats 14 children.

Calculation: 324÷14324 \div 14

Step 1: 14×20=28014 \times 20 = 280 Remaining children: 324−280=44324 - 280 = 44

Step 2: 14×3=4214 \times 3 = 42 Remaining children: 44−42=244 - 42 = 2

Step 3: Total coaches = 20+3=2320 + 3 = 23 2 children remain unseated.

Answer: 24 coaches are needed to accommodate all 324 children (23 coaches seat 322 children, and 1 additional coach seats the remaining 2 children).

Exercise: A Day at the Transport Museum | Q: 21 | (Page Page 8)
For More Understanding

Explanation

The chapter shows the division process: 324÷14324 \div 14. Using the table method: 10 coaches seat 140 children (remaining: 184), another 10 coaches seat 140 more (remaining: 44), then 3 coaches seat 42 (remaining: 2). Total: 23 coaches with 2 children remaining. But the calculation shows 15 coaches seat 210 children. For 324 children: 324÷14=23324 \div 14 = 23 remainder 2, so 24 coaches needed.

Solution Steps

  1. Step 1: Divide 324 by 14

  2. Step 2: 14×20=28014 \times 20 = 280, remainder 44

  3. Step 3: 14×3=4214 \times 3 = 42, remainder 2

  4. Step 4: Total coaches = 23, with 2 children remaining

  5. Step 5: Need 24 coaches to accommodate all children