Concept:The problem uses the concept of mixture and alligation, where the honey concentration changes when two mixtures are combined.
Explanation:First, find the honey concentration in each jar. J1 has ratio
3:1, so honey fraction =
43​=75%. J2 has ratio
1:3, so honey fraction =
41​=25%. After transfer, J2's honey fraction becomes
21​=50%.
Let the amount transferred from J1 be
x ml. Initially, J2 contains
80 ml with
20 ml honey and
60 ml water. The transferred
x ml from J1 contains
43​x honey and
41​x water.
After transfer, total honey in J2 =
20+43​x, total water =
60+41​x. For the final ratio
1:1, these must be equal:
20+43​x=60+41​x⇒21​x=40⇒x=80 ml.
Answer:The volume of mixture transferred from J1 to J2 is
80 ml (Option C).