Question

Which of the following ratios is a 9:3:3:1 ratio? (Please show your work)

a. 682:37:50:199

b. 543:178:189:58

c. 552:174:180:62

d. 557:164:162:85

e. 542:184:177:65

f. 539:187:182:60

Answer 1

All the different options have a total of 968

a. 682:37:50:199

The first number should be near equal to 9 times the final number

The second and third number should be near equal 3 times the final number

682/9=75.77=76

37/3= 12.33=2

50/3=6.67=7

None of these numbers equal 199

b. 543:178:189:58

543/9=60.33=60

178/3=59.33=59

189/3= 63

None of these numbers equal 58

c. 552:174:180:62

552/9= 61.33=61

174/3= 58

180/3= 60

None of these numbers equal 62

d. 557:164:162:85

557/9=61.88=62

164/3= 54.66-55

162/3= 54

None of these numbers equal 85

e. 542:184:177:65

542/9= 60.22=60

184/3=61.33=60

177/3= 59

None of these numbers equal 65

f. 539:187:182:60

539/9=59.88= 59

187/9=62.33=62

182/3= 60.66=61

Similarly. 60*9=540

60*3=180

Hence, this ratio is the best possible match to 9:3:3;1 ratio

Further,

Total number is 968

9:3:3: 1 is a total of (9+3+3+1) =16

968/16= 60.5

60.5*9= 544.5

60.5*3= 181.5

The ideal ratio would be 544.5:181.5:181.5:60.5. This ratio matches option f the best.

Right option is f.