14. Tom, John and Lily each shot six arrows at a target. Arrows hitting anywhere within the same ring scored the same number of points. Tom scored 46 points and John scored 34 points, as shown. How many points did Lily score?
A 37
B 38
C 39
D 40
E 41
Solution
D

Tom hit the inner ring three times, the middle ring once and the outer ring twice and scored 46 points. John hit the inner ring once, the middle ring three times and the outer ring twice and scored 34 points. Together they scored 80 points from hitting each ring four times. Lily hit each ring twice and so scored half of the total score of Tom and John. Therefore Lily scored 40 points.