parker correctly answered 70% of the questions on his math test. If he answered 35 questions correctly, how many questions were on his math test? define a variable. write and solve an equation

Respuesta :

70% of the total questions = 35

0.70x = 35.....with x being the total questions
x = 35 / 0.70
x = 50 <== 50 total questions

Let the total number of questions in the math test be defined by the variable x.

Now, we know that Parker correctly answered 35 questions. These 35 questions make 70% of the total number of questions on his math test.

The information we have above can be expressed as an equation given below:

70% of x=35

This can be rewritten as:

[tex] \frac{70}{100}x=35 [/tex]

Thus, to find the total number of questions we will have to isolate x.

[tex] \therefore x=\frac{35\times 100}{70}=50 [/tex]

Therefore, there were a total of 50 questions in the math test.