Q1.
She wonders how many coaches will be needed for the 324 children from her school. Remember, each coach can seat only 14 children. (324 ÷ 14) Total no. of coaches = _____
Answer
The table in the book takes the children away in groups of coaches:
| No. of children | No. of coaches needed | No. of children remaining |
|---|---|---|
| 324 | ||
| 140 | 10 | 324 − 140 = 184 |
| 140 | 10 | 184 − 140 = 44 |
| 14 | 1 | 44 − 14 = 30 |
| 28 | 2 | 2 |
10 coaches take 140 children → 324 − 140 = 184 left
10 more coaches take 140 → 184 − 140 = 44 left
1 coach takes 14 → 44 − 14 = 30 left
2 coaches take 28 → 30 − 28 = 2 left
Total no. of coaches = 10 + 10 + 1 + 2 = 23
Remainder = 2 children
10 more coaches take 140 → 184 − 140 = 44 left
1 coach takes 14 → 44 − 14 = 30 left
2 coaches take 28 → 30 − 28 = 2 left
Total no. of coaches = 10 + 10 + 1 + 2 = 23
Remainder = 2 children
So 23 coaches are filled and 2 children are still standing.
Why it happens: We keep taking away full coach-loads of 14 until fewer than 14 children are left. What is left is the remainder.