In a school, there are a total of 6300 classrooms. The ratio of the number of laro
classrooms to small classrooms is 1 : 5. Find the number of large classrooms ar
small classrooms in the school.
Answers
Given:
- Total = 6300 students
- Large classrooms = 1x = x
- Small classrooms = 5x
To find:
Number of large classrooms and small classrooms = ?
Solution:
Since there are 6300 students totally,
the sum of ratios would be 6300
➥ x + 5x = 6300
➝ 6x = 6300
➝ x = 6300 ÷ 6
➝ x = 1050
So,
- Number of students in large classrooms = x = 1050 students
- Number of students in small classrooms = 5x = 5250 students.
Verification:
The sum of 2 ratios should be equal to 3600.
1050 + 5250 = 6300
→ 6300 = 6300
★ HENCE VERIFIED ★
✯ Cᴏʀʀᴇᴄᴛ Qᴜᴇsᴛɪᴏɴ ☟
- ☯ In a school, there are a total of 6300 classrooms. The ratio of the number of large classrooms to small classrooms is 1 : 5. Find the number of large classrooms and small classrooms in the school.
❃ Gɪᴠᴇɴ Iɴғᴏ ☟
☯ No. of classrooms in the school ➠ 6300 classrooms.
☯ The ratio of the number of large classrooms to small classrooms ➠ 1 : 5.
❃ Tᴏ Fɪɴᴅ ☟
☯ The number of large classrooms and small classrooms in the school.
✯ Cᴏʀʀᴇᴄᴛ Aɴsᴡᴇʀ ☟
❖ Firstly, finding number of large classroom,
✠ As we know that ☟
- ☯ Total no. of classrooms × First no. of the ratio / Sum of the ratio .
❀ Total no. of classrooms ➯ 6300
❀ First no. of the ratio ➯ 1
❀ Sum of the ratio ➯ 5 + 1 ➣ 6
✡ Then,
➯ 6300 × 1 / 6
➠ 1050
∴ Hence, the number of large classroom is 1050.
❖ Secondly, finding number of small classroom,
✠ As we know that ☟
- ☯ Total no. of classrooms × Second no. of the ratio / Sum of the ratio
❀ Total no. of classrooms ➯ 6300
❀ First no. of the ratio ➯ 5
❀ Sum of the ratio ➯ 5 + 1 ➣ 6
✡ Then,
➯ 6300 × 5 / 6
➠ 5250
∴ Hence, the number of small classroom is 5250.