Set D consists of 19 elements. The average of set D is L. If a new element is added to the set and the average grows by K, what is the value of the new element?  Options.
A) a) L(1 + K / 5)	B) b) L * (K/100) - 20L	C) c) 20L(1+K/100)	D) d) 20(1+K/100)-19L	E) e) L*(K/5)-19
Let's assume the value of new element to bea. So converting the word problem into equation,   (19*L + a) / (19 + 1) = L + k ==&gt; after solving the equation we will get a (value of newly added element) = L + 20K   But according to the answer options, problem writer wanted to conveyk% percent rise in average value.   If we consider this case than resulting equation will be,   (19*L + a) / ( 19+1 ) = L + (K/100)*L ==&gt; 19L + a = 20 [ L + KL/100]   ==&gt; a= 20L + KL/5 -19L   ==&gt; a= L + KL/5 , which is equivalent to option [a) L(1 + K / 5)]
<result>A</result>
Set D consists of 19 elements. The average of set D is L. If a new element is added to the set and the average grows by K, what is the value of the new element?