Answer :

Answer:

Explanation:

The fact that Kalen earned a 75% means that 6 questions are 75% of the total number of questions. And for a moment, if we call T the total number of questions, then we know that

[tex]T\times\frac{75\%}{100\%}=6[/tex]

which simplifies to

[tex]T\times0.75=6[/tex]

Dividing both sides by 0.75 gives

[tex]T\times0.75\div0.75=6\div0.75[/tex][tex]T=6\div0.75[/tex][tex]T=8[/tex]

Hence, the total number of questions on the test was 8.

In short, the formula for solving such problems is

[tex]T=\frac{100}{\text{percent}}\times n\text{umber}[/tex]

where number is that which is some percent of the original amount.

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