Question

The ratio for the pass to fail results of a Functional Skills Level 1 exam is 7 : 2.

If 12 learners failed, how many passed?

Answer 1

Answer:

Step-by-step explanation:

13

Answer 2

The number of learners that had passed in the exam where the ratio  for the pass to fail results is 7 : 2 is 42

What is the ratio of two quantities?

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b or $\dfrac{a}{b}$

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

$a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3$

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

For this case, we're specified that:

• Ratio of pass to fail (number of students) in a Functional Skills Level 1 exam is 7 : 2
• 12 learners failed.
• To find: Number of learners who passed.

Assume that:

Number of learners who passed = 'x'

Then, the ratio of x to 12 should be equal to the ratio of 7:2

Or, we get:

$\dfrac{x}{12} = \dfrac{7}{2}\\\\\text{Multiplying 12 on both the sides}\\\\12 \times \dfrac{x}{12} = 12 \times \dfrac{7}{2}\\\\x = 6 \times 7\\\\x = 42$

Thus, the number of learners that had passed in the exam where the ratio  for the pass to fail results is 7 : 2 is 42

Learn more about ratio here:

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