Answer :
Let's solve the problem step-by-step:
1. Understand the Problem:
- We need to find the total number of children that usually attend the nursery.
- On Monday, 34% of the children were absent, which means 66% attended.
- 29 children attended the nursery on Monday.
2. Calculate the Percentage of Children Who Attended:
- If 34% were absent, then:
[tex]\[ 100\% - 34\% = 66\% \][/tex]
So, 66% of the children attended the nursery.
3. Translate the Percentage into a Fraction:
- Let the total number of children who usually attend the nursery be [tex]\( x \)[/tex].
- Since 66% of [tex]\( x \)[/tex] attended the nursery, we can write this as:
[tex]\[ 0.66 \times x = 29 \][/tex]
Here, [tex]\( 0.66 \times x \)[/tex] represents 66% of the total number of children.
4. Solve for [tex]\( x \)[/tex]:
- To find the total number of children [tex]\( x \)[/tex], we need to rearrange the equation to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{29}{0.66} \][/tex]
5. Calculate the Value of [tex]\( x \)[/tex]:
- When we divide 29 by 0.66, we get:
[tex]\[ x \approx 43.93939 \][/tex]
So, approximately 43.94 children usually attend the nursery.
6. Conclusion:
- The total number of children that usually attend the nursery is about 43.94.
In conclusion, the detailed steps provide us with the final answer that approximately 43.94 children usually attend the nursery on Monday.
1. Understand the Problem:
- We need to find the total number of children that usually attend the nursery.
- On Monday, 34% of the children were absent, which means 66% attended.
- 29 children attended the nursery on Monday.
2. Calculate the Percentage of Children Who Attended:
- If 34% were absent, then:
[tex]\[ 100\% - 34\% = 66\% \][/tex]
So, 66% of the children attended the nursery.
3. Translate the Percentage into a Fraction:
- Let the total number of children who usually attend the nursery be [tex]\( x \)[/tex].
- Since 66% of [tex]\( x \)[/tex] attended the nursery, we can write this as:
[tex]\[ 0.66 \times x = 29 \][/tex]
Here, [tex]\( 0.66 \times x \)[/tex] represents 66% of the total number of children.
4. Solve for [tex]\( x \)[/tex]:
- To find the total number of children [tex]\( x \)[/tex], we need to rearrange the equation to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{29}{0.66} \][/tex]
5. Calculate the Value of [tex]\( x \)[/tex]:
- When we divide 29 by 0.66, we get:
[tex]\[ x \approx 43.93939 \][/tex]
So, approximately 43.94 children usually attend the nursery.
6. Conclusion:
- The total number of children that usually attend the nursery is about 43.94.
In conclusion, the detailed steps provide us with the final answer that approximately 43.94 children usually attend the nursery on Monday.