Question

Kiran scored \[80\] marks in his science test which is $\dfrac{5}{6}$ of the total marks. What are the total marks for the test?
A.$96$
B.$100$
C.$104$
D.$108$

Answer 1

Hint: We will use the formula: $c = \dfrac{a}{b}{\text{ of }}x$ and it can also be written as: $c = \dfrac{a}{b} \times x$. Here,$\dfrac{5}{6}$ $ \times $ Total marks = $80$ since the score Kiran gets is $\dfrac{5}{6}$ of the total marks. Upon solving this equation, we will get the value of total marks.

Complete step-by-step answer:
We are given that Kiran scored $80$ marks in his science test. The score of Kiran is $\dfrac{5}{6}$ of the total marks.
We are required to calculate the total marks for the test.
We know that if $c = \dfrac{a}{b}{\text{ of }}x$, then $c = \dfrac{a}{b} \times x$. Using this formula, we can say that $\dfrac{5}{6}$ $ \times $ Total marks for the test = $80$.
Let the total marks for the science test be $x$. Therefore, we can write
$ \Rightarrow \dfrac{5}{6} \times x = 80$
Solving this equation for the value of $x$, we get
$ \Rightarrow 5x = 80\left( 6 \right)$
$ \Rightarrow 5x = 480$
$ \Rightarrow x = \dfrac{{480}}{5}$
$ \Rightarrow x = 96$
Therefore, the total marks for the science test are $96$.
Hence, option (A) is correct.

Note: In this question, the most important thing is interpretation of the word problem given because as we can see that just on the basis of what is given, we have formulated the equation. We may go wrong while solving for x i.e., the value of total marks from the equation because many can think that total marks = $\dfrac{5}{6} \times 80$ which is wrong.