Let’s go step by step to solve this problem.
We are told:
> “A school has 120 students. The ratio of boys to girls is 3:5.”
That means for every 3 boys, there are 5 girls.
So, the total number of parts in the ratio = 3 + 5 =
8 parts
These 8 parts represent all 120 students.
So, each part = 120 ÷ 8 =
15 students
Now:
- Boys = 3 parts → 3 × 15 =
45 boys
- Girls = 5 parts → 5 × 15 =
75 girls
✔ Check: 45 + 75 = 120 → correct.
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Next part:
> “The school wants to form teams for a competition. Each team must have exactly 4 boys and 6 girls.”
We need to find out how many such teams can be formed.
We have:
- 45 boys → each team needs 4 boys → max teams from boys = 45 ÷ 4 = 11.25 → so only
11 full teams (since we can’t have a fraction of a team)
- 75 girls → each team needs 6 girls → max teams from girls = 75 ÷ 6 = 12.5 → so only
12 full teams
But we need BOTH 4 boys AND 6 girls per team. So the limiting factor is the one that allows fewer complete teams.
→ Boys allow only 11 teams
→ Girls allow 12 teams
So, we can only make
11 teams, because after 11 teams, we run out of enough boys (we’d need 44 boys for 11 teams — which we have — but for 12 teams we’d need 48 boys, and we only have 45).
Wait — let’s double-check:
For 11 teams:
- Boys needed: 11 × 4 = 44 → we have 45 → OK (1 boy left over)
- Girls needed: 11 × 6 = 66 → we have 75 → OK (9 girls left over)
Can we make a 12th team?
- Boys needed: 12 × 4 = 48 → we only have 45 → NOT enough
So yes, maximum is
11 teams
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Final Answer:
11
Parent Tip: Review the logic above to help your child master the concept of identifying irony worksheet.
