Question

Veronica can type $ 28 $ words per minute. At this rate, how many words can Veronica type in $ 5\dfrac{1}{2} $ minutes?
A. $ 154 $
B. $ 156 $
C. $ 159 $
D. $ 162 $

Answer 1

Hint: Here we will first convert the mixed fraction in the form of the simple fraction and then we will find the total words in the total minutes using the multiplication and simplify the expression for the required value.

Complete step-by-step answer:
Given that, Veronica types for $ 5\dfrac{1}{2} $ minutes
Convert the above mixed fraction in the form of the simple fraction –
 $ 5\dfrac{1}{2} = \dfrac{{11}}{2} $ minutes
Given that: Veronica can type $ 28 $ words per minute.
Frame the mathematical expression –
 $ 1 $ minute $ = 28 $ words
 $ \dfrac{{11}}{2} $ minutes $ = ? $
Apply Cross multiplication, where one side of the equation is multiplied with the second term on the opposite side.
 $ = 28 \times \dfrac{{11}}{2} $ words
Find the factors for the term in the numerator.
 $ = 14 \times 2 \times \dfrac{{11}}{2} $
Common factors from the numerator and the denominator cancels each other.
 $ = 14 \times 11 $
Simplify the above expression finding the product of the terms-
 $ = 154 $ words
Hence, from the given multiple choices – the option A is the correct answer.
So, the correct answer is “Option A”.

Note: Be careful while converting the mixed fraction in the simple fraction since the correct answer depends on it only. Read the question twice and then frame the equation accordingly. Fraction can be expressed as the term in the numerator upon the denominator. Common factors in the numerator and the denominator cancels each other.