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Answer:
16
Step-by-step explanation:
Let's call the number of questions there are "x".
So the number of questions he got right was is"
x-4 >subtract 4 wrong from total questions
So the percent right is how many he got right (x-4) divided by total questions:
[tex]\frac{x-4}{x}=.75[/tex] >cross multiply
x-4 = .75x >solve for x
.25x = 4
x=16
There were 16 total questions
Answer:
There were 16 problems on the test.
Step-by-step explanation:
John got 75% of the problems correct, so the remaining 25% are the percentage of problems that he got wrong. If he got a total of 4 incorrect, then we can create an equation of two fractions with the problems John got wrong over the whole # of problems on the test. One fraction will have the actual number he got wrong (4) over the total number of questions of the text, which we will label x because this number is unknown. The other fraction will have the % of wrong questions (25) over 100%, because the whole of anything is 100%. These two fractions are equal because they represent the same ratio of questions wrong to total questions.
[tex]\frac{4}{x} =\frac{25}{100}[/tex]
Cross multiply.
[tex]400=25x[/tex]
Divide by 25 on both sides to isolate x to find it's value.
[tex]16 = x[/tex]
X is 16, so there were 16 total problems on the test.