chetan2u wrote:
To fill a larger concert hall, a madrigal singing group consisting of sopranos, altos, and basses, in a 5:7:3 ratio, needs 40 singers. What is the least number of basses the group will need?
GIVEN: sopranos : altos : basses = 5 : 7 : 3
So, some possible scenarios are as follows:
5 sopranos : 7 altos : 3 basses. TOTAL singers = 5 + 7 + 3 = 15
10 sopranos : 14 altos : 6 basses. TOTAL singers = 10 + 14 + 6 = 30
15 sopranos : 21 altos : 9 basses. TOTAL singers = 15 + 21 + 9 = 45
20 sopranos : 28 altos : 12 basses. TOTAL singers = 20 + 28 + 12 = 60
.
.
.
etc
As we can see, the third scenario (15 sopranos : 21 altos : 9 basses) gives us AT LEAST 40 singers.
So, we need AT LEAST 9 basses
Answer: 9
Cheers,
Brent
_________________
Brent Hanneson - founder of Greenlight Test Prep