Question

. How many learners can a school enrol if there are 12 teachers and the
ratio of learners to teachers is 30:1?

Answer 1

Answer:

To determine the maximum number of learners a school can enroll given 12 teachers and a learners to teachers ratio of 30:1, we can use a simple formula:

Step-by-step explanation:

Number of learners = Number of teachers x Learners to teachers ratio

So, substituting the given values in the formula, we get:

Number of learners = 12 x 30

Number of learners = 360

Therefore, a school can enroll a maximum of 360 learners with 12 teachers and a learners to teachers ratio of 30:1.

It's important to note that the learners to teachers ratio is an essential factor in determining the quality of education and the level of individual attention each student receives. A lower ratio generally means that each student receives more personalized attention, while a higher ratio may result in less individualized attention.

Additionally, the number of learners a school can enroll is also influenced by other factors such as the size of classrooms, availability of resources, and teaching methodology. It's important for schools to maintain an appropriate balance between the number of learners and the number of teachers to ensure that the quality of education is not compromised.

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Answer 2

The number of learners is 360.

• Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent."
• For instance, out of a group of 30, 17 prefer to walk and 13 prefer to cycle in the morning. We write this information as 17: 13 to express it as a ratio. The letter ":" in this context means "is to." Therefore, "17 is to 13" represents the proportion of those who prefer to walk to those who prefer to cycle.
• Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.

Here, according to the given information, we are given that,

The ratio of learners to teachers is 30:1.

Now, there are 12 teachers in the school.

Now, from the ratio, let the number of learners and teachers be 30x and x respectively.

Then, $x=12.$

Then, the number of learners = $30.12 = 360.$

Hence, the number of learners is 360.

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