Question

ms. bowden took a 186 - question true - false test. if she answered all 186 questions and answered 56 questions more with true rather than false, how many questions did ms. bowden answer true?
select one answer.
a 50
b 53
c 100
d 136

Explanation:

Step1: Define variables

Let $x$ = number of "true" answers, $y$ = number of "false" answers.

Step2: Set up total questions equation

$x + y = 186$

Step3: Set up difference equation

$x - y = 86$

Step4: Solve the system of equations

Add the two equations:
$$(x + y) + (x - y) = 186 + 86$$
$$2x = 272$$
$$x = \frac{272}{2} = 136$$

Answer:

D. 136