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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

Respuesta :

Answer:

The correct option is A) 5.

Step-by-step 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:

[tex]\dfrac{\$37500}{\$1250} = 30[/tex]

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

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

Therefore, [tex]\dfrac{30}{10}=10[/tex] scholarships for $2500 .

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

Therefore, [tex]\dfrac{10}{2}=5[/tex] scholarships for $4000.

Hence, the correct option is A) 5.

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