Question

Michelle made 26 more sales calls last month than Allen. Together, they made 120 calls. How many calls were made by Michelle?

A)47 calls

B)73 calls

C)82 calls

D)94 calls

Answer 1

Data:
M (Michelle) and A (Allen)

M = 26 + A → A = M - 26 (I)
M + A = 120 (II)

How many calls were made by Michelle?

Hello! 
You will have to replace, the data found in the case, you will find the number of calls made by Michelle, replacing the value of A in the second equation.

Therefore:
M + A = 120 (II)
Substitute:
M + (M - 26) = 120
M + M - 26 = 120
2M - 26 = 120
Put the number without letter to the right of the equality, changing the signal when changing sides.
2M = 120 + 26
2M = 146
$M = \frac{146}{2}$
$\boxed{\boxed{M = 73}}\end{array}}\qquad\quad\checkmark$

Answer: B)73 calls 
$\textbf{\underline{Michelle\:made\:73\:calls}}$

Answer 2

Solution;-

Let us assume that the number of sales calls made by Allen be 'x'
Therefore, the number of sales calls made by Michelle will be x + 26
Together, they both made 120 sales calls.
According to the question.
x + x + 26 = 120
2x + 120 - 26
2x = 94
x = 94/2
x = 47
Calls made by Allen is 47

and

calls made by Michelle is 47 + 26 = 73 in the last month.

So, the option (B) is correct.

Answer.