Question

A certain scholarship committee awarded scholarships in the amounts of $1,250, $2,500, and $4,000. The committee awarded twice as many $2,500 scholarships as $4,000 scholarships, and it awarded three times as many $1,250 scholarships as $2,500 scholarships. If a total of $37,500 was awarded in $1,250 scholarships, how many $4,000 scholarships were awarded?A. 5

B. 6
C. 9
D. 10
E. 15

Answer 1

The correct option is A) 5.

Explanation:

Consider the provided information.

It is given that total of $37,500 was awarded in $1,250 scholarships.

Therefore, the total number of scholarships of $1,250 are:

`(\$37500)/(\$1250) = 30`

Hence, 30 scholarship of $1,250 was awarded.

The committee awarded three times as many $1,250 scholarships as $2,500 scholarships.

Therefore,
`(30)/(10)=10` scholarships for $2500 .

The committee awarded twice as many $2,500 scholarships as $4,000 scholarships.

Therefore,
`(10)/(2)=5` scholarships for $4000.

Hence, the correct option is A) 5.