Problem:
At Megapolis Hospital one year, multiple-birth statistics were as follows: Sets of twins, triplets, and quadruplets accounted for of the babies born. There were four times as many sets of triplets as sets of quadruplets, and three times as many sets of twins as sets of triplets. How many of these babies were in sets of quadruplets?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Let denote the number of sets of quadruplets. Then . Thus , and the number of babies in sets of quadruplets is .
The problems on this page are the property of the MAA's American Mathematics Competitions