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john missed 4 problems on the test but did 75% of them correctly, how much promblems were there on the test

Sagot :

choptsui

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

tessyaelv

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.

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