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Last year's freshman class at State University total 5,320 students. Of those 1,262 received a merit scholarship to help offset tuition costs. The amount a student received was N($3,450 , $480). if the cost of a full tuition was $4,050 last year , what percentage of students who received a merit scholarship did not receive enough to cover full tuition ? ( Round to nearest whole percent)Percentage of students ________%

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Answer: We need to find the percentage of students that received a scholarship that did not cover their full tuition:

The number of students that received a scholarship was:


1262

The amounts that students received were:


\begin{gathered} 3,450\text{ Dollars} \\ 480\text{ Dollars} \end{gathered}

But the actual tuition cost was:


4050\text{ Dollars}

Therefore, none of the students that received scholarship had received enough to cover the full tuition, because:


\begin{gathered} 4050>3450 \\ 4050\text{ }>480 \end{gathered}

So, 100% of the students that received scholarships, did not receive enough to cover their tuition.

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