Answer:
a) January 24(24 de Enero)
b) Paula will have made 5 visits(Paula habrá hecho 5 visitas). Mario will have made 4 visits(Mario habrá hecho 4 visitas).
Explanation:
When two events, A and B, happen every x and y days, respectively, they will happen on the same day in each lcm(x,y) days. lcm(x,y) is the lesser common multiple of x and y which is not 0.
In this question:
Paula each 5 days
Mario each 6 days
Multiples of 5: {0, 5, 10, 15, 20,25,30, ...}
Multiples of 6: {0, 6, 12, 18, 24, 30, ...}
a) ¿Cuándo volvieron a coincidir?
lcm(5,6) = 30
30 days from December 24, which is January 24(24 de Enero).
b) ¿Cuántas visitas habrá hecho cada uno?
Paula visits each 5 days.
30 is 6th non-zero multiple of 5. This means that on January 24 will be her 6th visit. So she will have made 5 visits.
30 is the 5th non-zero multiple of 6. This means that on January 24 will be her 5th visit. So he will have made 4 visits.