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The ChildCare Center (CCC) is a medium-sized child care facility that offers daytime supervision and instruction on weekdays (Monday through Friday) for children up to the age of 5. There are many children who attend CCC every weekday, and a relatively small number attend fewer than 3 days per week.
The classroom assignment and daily fee paid to CCC for each child are determined by the child's age on Friday of the previous week.
The classroom assignment and daily fee paid to CCC for each child are determined by the child's age on Friday of the previous week.
Twos: Same/few staff
Threes: Same/few staff
FourFives: More staff
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
74% (03:52) correct
26%
(03:55)
wrong
based on 1489
sessions
History
Date
Time
Result
Not Attempted Yet
ID: 100476
From the Saturday before Week 2 through the Friday of Week 2, exactly eight of the children in attendance at CCC had birthdays. Two children turned 1, one child turned 2, one child turned 3, and four children turned 4. All changes to classroom attendance from Week 2 to Week 3 were due to these birthdays.
For each of the following classrooms, select More staff if more classroom staff members were assigned to that classroom on the Monday of Week 3 than on the Monday of Week 2. Otherwise, select Same/fewer staff.
From the Saturday before Week 2 through the Friday of Week 2, exactly eight of the children in attendance at CCC had birthdays. Two children turned 1, one child turned 2, one child turned 3, and four children turned 4. All changes to classroom attendance from Week 2 to Week 3 were due to these birthdays.
For each of the following classrooms, select More staff if more classroom staff members were assigned to that classroom on the Monday of Week 3 than on the Monday of Week 2. Otherwise, select Same/fewer staff.
| More staff | Same/few staff | |
| Twos | ||
| Threes | ||
| FourFives |
ShowHide Answer
Official Answer
Twos: Same/few staff
Threes: Same/few staff
FourFives: More staff
Thursday
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
57% (01:47) correct
43%
(01:36)
wrong
based on 1596
sessions
History
Date
Time
Result
Not Attempted Yet
ID: 100475
In the Ones classroom in Week 2, for which one of the following days was the ratio of classroom staff to children least?
In the Ones classroom in Week 2, for which one of the following days was the ratio of classroom staff to children least?
| Monday | |
| Tuesday | |
| Wednesday | |
| Thursday | |
| Friday |
ShowHide Answer
Official Answer
Thursday
Infant, Ones: Decrease
Ones, Twos: Increase/no change
Threes, FourFives: Decrease
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
57% (02:26) correct
43%
(02:18)
wrong
based on 1553
sessions
History
Date
Time
Result
Not Attempted Yet
ID: 100477
Suppose that, in an effort to reduce staffing costs for the Friday of Week 2, the director of CCC had considered combining some classes for that day. For each of the following combinations, select Decrease if combining those classes would have decreased the number of classroom staff needed, provided that no other changes had occurred. Otherwise, select Increase/no change.
Suppose that, in an effort to reduce staffing costs for the Friday of Week 2, the director of CCC had considered combining some classes for that day. For each of the following combinations, select Decrease if combining those classes would have decreased the number of classroom staff needed, provided that no other changes had occurred. Otherwise, select Increase/no change.
| Decrease | Increase/no change | |
| Infant, Ones | ||
| Ones, Twos | ||
| Threes, FourFives |
ShowHide Answer
Official Answer
Infant, Ones: Decrease
Ones, Twos: Increase/no change
Threes, FourFives: Decrease
A: Apply
According to the information on the Week 2 Enrollment tab, on Monday of Week 2 there were 9 children in the Twos classroom. During Week 2, as of Friday one child had turned 2 and another child had turned 3. The CCC tab indicates that a child's classroom assignment is determined by her or his age on Friday of the previous week, so the number of children in the Twos classroom was the same on Monday of Week 3 (9 + 1 – 1 = 9) as it was on Monday of Week 2. The Regulations tab indicates that CCC assigns the minimum number of staff necessary to comply with regulations, so the number of staff assigned to that classroom would have been the same on Monday of Week 3 as it was on Monday of Week 2.
The correct answer is Same/fewer staff.
B: Apply
On Monday of Week 2 there were 15 children in the Threes classroom. During Week 2, as of Friday one child had turned 3 and four children had turned 4. Given that a child's classroom assignment is determined by her or his age on Friday of the previous week, on Monday of Week 3, there were 12 children (15 + 1 – 4 = 12) in the Threes classroom. Furthermore, given that the required ratio of staff to children in the Threes classroom is 1:10, and that CCC assigns the minimum number of staff needed to comply with regulations, we can calculate the number of staff assigned to the Threes classroom for each Monday by dividing the number of children in the Threes classroom by 10 and rounding up to the nearest whole number.
Monday of Week 2: 15/10=1.5
15/10=1.5, for 2 staff.
Monday of Week 3: 12/10=1.2
12/10=1.2, for 2 staff.
Therefore, the same number of staff was assigned to the Threes classroom for Monday of Week 2 and for Monday of Week 3.
The correct answer is Same/fewer staff.
C: Apply
On Monday of Week 2 there were 12 children in the FourFives classroom. During Week 2, as of Friday four children had turned 4 and no children turned 5 or 6. Given that a child's classroom assignment is determined by her or his age on Friday of the previous week, on Monday of Week 3 the FourFives classroom had 16 children (12 + 4 = 16). Furthermore, given that the required ratio of staff to children in the FourFives classroom is 1:13, and that CCC assigns the minimum number of staff needed to comply with regulations, we can calculate the number of staff assigned to the FourFives classroom for each Monday by dividing the number of children in the FourFives classroom by 13 and rounding up to the nearest whole number.
Monday of Week 2: 12/13≈0.92
12/13≈0.92, for 1 staff.
Monday of Week 3: 16/13≈1.23
16/13≈1.23, for 2 staff.
Therefore, more staff were assigned to the FourFives classroom for Monday of Week 3 than were assigned to that classroom for Monday of Week 2.
The correct answer is More staff.
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1. From the Saturday before Week 2 through the Friday of Week 2, exactly eight of the children in attendance at CCC had birthdays. Two children turned 1, one child turned 2, one child turned 3, and four children turned 4. All changes to classroom attendance from Week 2 to Week 3 were due to these birthdays.
For each of the following classrooms, select More staff if more classroom staff members were assigned to that classroom on the Monday of Week 3 than on the Monday of Week 2. Otherwise, select Same/fewer staff.
Monday of W2
- Age 2: 9 (<10) | Ratio 1:10 => Current staff are enough for 10
- Age 3: 15 (=13+3) | Ratio 1:13 => Current staff are enough for 26 (=2*13)
- Age 4-5: 12 (<13) | Ratio 1:13 => Current staff are enough for 13
Monday of W3
- Age 2: 9+1-1 = 9 (1 child turned 2 and 1 child turned 3) => Same/few staff
- Age 3: 15 + 1 - 4 = 12 (1 child turned 3 and 4 children turned 4) => Same/few staff
- Age 4 - 5: 12 + 4 = 16 (4 children turned 4) => More than 13 => More staff
2. In the Ones classroom in Week 2, for which one of the following days was the ratio of classroom staff to children least?
Ones: Min ratio: 1:4
The ratio is the least when exactly there is 1 teacher for every 4 children
=> The number of children on that day is divisble by 4
=> Thursday
3. Suppose that, in an effort to reduce staffing costs for the Friday of Week 2, the director of CCC had considered combining some classes for that day. For each of the following combinations, select Decrease if combining those classes would have decreased the number of classroom staff needed, provided that no other changes had occurred. Otherwise, select Increase/no change.
Infant, Ones:
- Infant: 9 children & Ratio: 1:4 => 3 teachers
- Ones: 10 children & Ratio: 1:4 => 3 teachers
- Combined: 9 + 10 = 19 => 5 teachers < 3 + 3
==> decrease
Ones, Twos
- Ones: 10 children & Ratio: 1:4 => 3 teachers
- Twos: 6 children & Ratio: 1:6 => 1 teacher
- Combined: 10 + 6 = 16 children & Ratio: 1:4 => 4 teachers = 3 + 1
=> Increase/no change
Threes, FourFives
- Threes: 12 chidren & Ratio: 1:10 => 2 teachers
- FoursFives: 8 children & Ratio: 1:13 => 1 teacher
- Combined: 12 + 8 = 20 children & Ratio: 1:10 => 2 teachers < 2 + 1
==> decrease
For each of the following classrooms, select More staff if more classroom staff members were assigned to that classroom on the Monday of Week 3 than on the Monday of Week 2. Otherwise, select Same/fewer staff.
Monday of W2
- Age 2: 9 (<10) | Ratio 1:10 => Current staff are enough for 10
- Age 3: 15 (=13+3) | Ratio 1:13 => Current staff are enough for 26 (=2*13)
- Age 4-5: 12 (<13) | Ratio 1:13 => Current staff are enough for 13
Monday of W3
- Age 2: 9+1-1 = 9 (1 child turned 2 and 1 child turned 3) => Same/few staff
- Age 3: 15 + 1 - 4 = 12 (1 child turned 3 and 4 children turned 4) => Same/few staff
- Age 4 - 5: 12 + 4 = 16 (4 children turned 4) => More than 13 => More staff
2. In the Ones classroom in Week 2, for which one of the following days was the ratio of classroom staff to children least?
Ones: Min ratio: 1:4
The ratio is the least when exactly there is 1 teacher for every 4 children
=> The number of children on that day is divisble by 4
=> Thursday
3. Suppose that, in an effort to reduce staffing costs for the Friday of Week 2, the director of CCC had considered combining some classes for that day. For each of the following combinations, select Decrease if combining those classes would have decreased the number of classroom staff needed, provided that no other changes had occurred. Otherwise, select Increase/no change.
Infant, Ones:
- Infant: 9 children & Ratio: 1:4 => 3 teachers
- Ones: 10 children & Ratio: 1:4 => 3 teachers
- Combined: 9 + 10 = 19 => 5 teachers < 3 + 3
==> decrease
Ones, Twos
- Ones: 10 children & Ratio: 1:4 => 3 teachers
- Twos: 6 children & Ratio: 1:6 => 1 teacher
- Combined: 10 + 6 = 16 children & Ratio: 1:4 => 4 teachers = 3 + 1
=> Increase/no change
Threes, FourFives
- Threes: 12 chidren & Ratio: 1:10 => 2 teachers
- FoursFives: 8 children & Ratio: 1:13 => 1 teacher
- Combined: 12 + 8 = 20 children & Ratio: 1:10 => 2 teachers < 2 + 1
==> decrease
General Discussion
25 May 2018, 14:20
Kudos
Bookmarks
Here is how I answered this question.
8 children had birthdays.
1. The CCC tab tells us that "There are many children who attend CCC every weekday, and a relatively small number attend fewer than 3 days per week."
So I used the true number of total enrollment which is the largest number of children enrolled in that class in that week (you could also presumably use the least amount of students each week but the point is to use the same baseline measure for the amounts to understand the overall ratio impact).
2.
2 children - Turned 1
1 child - Turned 2
1 child - Turned 3
4 children - Turned 4
3. Therefore: start with the week 2 numbers and find the week 3 numbers using the true (highest) number of students enrolled.
Infants: 11 - (2 children - Turned 1) = 9
Ones: 13 + (2 children - Turned 1) = 15 - (1 child - Turned 2) = 14
Twos: 10 + (1 child - Turned 2) = 11 - (1 child - Turned 3) = 10
Threes: 16 + (1 child - Turned 3) = 17 - (4 children - Turned 4) = 13
FoursFives: 12 + (4 children - Turned 4) = 16
So the Week 3 numbers are:
9, 14, 10, 13, 16.
4. Then, I simply looked at the old ratios and compared with the new ratios. From there I got the same answers as the OG: same, same, increase.
8 children had birthdays.
1. The CCC tab tells us that "There are many children who attend CCC every weekday, and a relatively small number attend fewer than 3 days per week."
So I used the true number of total enrollment which is the largest number of children enrolled in that class in that week (you could also presumably use the least amount of students each week but the point is to use the same baseline measure for the amounts to understand the overall ratio impact).
2.
2 children - Turned 1
1 child - Turned 2
1 child - Turned 3
4 children - Turned 4
3. Therefore: start with the week 2 numbers and find the week 3 numbers using the true (highest) number of students enrolled.
Infants: 11 - (2 children - Turned 1) = 9
Ones: 13 + (2 children - Turned 1) = 15 - (1 child - Turned 2) = 14
Twos: 10 + (1 child - Turned 2) = 11 - (1 child - Turned 3) = 10
Threes: 16 + (1 child - Turned 3) = 17 - (4 children - Turned 4) = 13
FoursFives: 12 + (4 children - Turned 4) = 16
So the Week 3 numbers are:
9, 14, 10, 13, 16.
4. Then, I simply looked at the old ratios and compared with the new ratios. From there I got the same answers as the OG: same, same, increase.
