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Sagot :
To determine the number of toddler classes ([tex]\(x\)[/tex]) and preschool classes ([tex]\(y\)[/tex]), we need to set up a system of inequalities that takes into account the constraints given in the problem:
1. Each toddler class has 8 students, and each preschool class has 12 students. The total number of students in all classes combined cannot exceed 96 students.
2. They can use up to 10 rooms for these classes.
We can express these constraints as inequalities:
- For the total number of students constraint: [tex]\(8x + 12y \leq 96\)[/tex]
- For the total number of rooms constraint: [tex]\(x + y \leq 10\)[/tex]
Therefore, the correct system of inequalities is:
[tex]\[ 8x + 12y \leq 96 \][/tex]
[tex]\[ x + y \leq 10 \][/tex]
So, the correct answer is:
D. [tex]\(8 x + 12 y \leq 96\)[/tex]
[tex]\[ x + y \leq 10 \][/tex]
1. Each toddler class has 8 students, and each preschool class has 12 students. The total number of students in all classes combined cannot exceed 96 students.
2. They can use up to 10 rooms for these classes.
We can express these constraints as inequalities:
- For the total number of students constraint: [tex]\(8x + 12y \leq 96\)[/tex]
- For the total number of rooms constraint: [tex]\(x + y \leq 10\)[/tex]
Therefore, the correct system of inequalities is:
[tex]\[ 8x + 12y \leq 96 \][/tex]
[tex]\[ x + y \leq 10 \][/tex]
So, the correct answer is:
D. [tex]\(8 x + 12 y \leq 96\)[/tex]
[tex]\[ x + y \leq 10 \][/tex]
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