scholarship committee

[success1111]

A certain scholarship committee awarded scholarship in the amount of $1250,$2500, and $4,000. The committee awarded twice as many $2500 scholarship as $4000 scholarships and awarded 3 times as many $1250 scholarship as $2500 scholarship.If a total of $37,500 was awarded in $1250 scholarship,how many $4000 scholarships were awarded.

a)5
b)6
c)9
d)10
e)15

[GMAT12]

is the answer 5?

[success1111]

is the answer 5?

Sorry,i need explanation how you got 5 not the only answer
Thanx

[GMAT12]

The awarded number of $1250 scholarship is $37500/$1250=30.

According to the question,the number of $ 2500 scholarship is one-third of the number of $1250 scholarship. so 30/3=10.

The number of $4000 scholarship is half the number of $2500 scholarship.So 10/2=5.

[rossmj]

This is just a disguised ratio problem
A=$1250 Schol.
B=$2500 Schol.
C=$4000 Schol

2B:1C & 3A:1b

Set these up as fractions and by canceling units we get 6A:1C

37500/1250=30=A.

Therfore, C=(1/6)A=5