Problem:
Blake and Jenny each took four -point tests. Blake averaged on the four tests. Jenny scored points higher than Blake on the first test, points lower than him on the second test, and points higher on both the third and fourth tests. What is the difference between Jenny's average and Blake's average on these four tests?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Blake scored a total of points on the four tests. Jenny scored more points than Blake, so her average was , or points higher than Blake's.
The total point difference between Jenny's and Blake's tests was points. The average difference is points.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions