Sure! Let's go through each part of the question step-by-step:
### Given Data
- A group of students aims to wash 60 cars.
- We need to fill in the missing data in the provided table and answer some related questions.
### Completing the Table
The table and data provided are:
\begin{tabular}{|l|l|l|l|l|l|l|l|}
\hline Number of students & 1 & 2 & B & 4 & C & 12 & 15 \\
\hline Number of cars washed & A & 30 & 20 & 15 & 6 & D & 4 \\
\hline
\end{tabular}
We need to find the values for A, B, C, and D.
1. A: Number of cars washed by 1 student
- If 1 student washes, they can wash 60 cars.
Therefore, A = 60.
2. B: Number of students for 20 cars washed
- If the total number of students required to wash 60 cars is 1, then the proportion for 20 cars would be calculated by [tex]\( \frac{60}{20} \)[/tex].
Therefore, B = 3.
3. C: Number of cars washed by 6 students
- We know that 12 students wash 5 cars. Hence, 6 students wash [tex]\( \frac{5}{12} \times 6 = 10 \)[/tex] cars.
Therefore, C = 10.
4. D: Number of students for 4 cars washed
- Based on the total of 60 cars, the number of students required for 4 cars would be [tex]\( \frac{60}{4} \)[/tex].
Therefore, D = 15.
### Updating the table with the values:
\begin{tabular}{|l|l|l|l|l|l|l|l|}
\hline Number of students & 1 & 2 & 3 & 4 & 10 & 12 & 15 \\
\hline Number of cars washed & 60 & 30 & 20 & 15 & 10 & 5 & 4 \\
\hline
\end{tabular}
### Additional Questions:
1.1.2 If six students are working, how many cars will each one have to wash?
- If 60 cars are to be washed evenly by 6 students, each student will wash [tex]\( \frac{60}{6} = 10 \)[/tex] cars.
Therefore, each student will wash 10 cars.
1.1.3 How many students will be used if each student only washes TWO cars?
- If each student only washes 2 cars, the number of students required to wash 60 cars would be [tex]\( \frac{60}{2} = 30 \)[/tex].
Therefore, 30 students will be used.
