Question

The number 4 is written on my whiteboard. Every time it rains, I multiply the number on the whiteboard by 2/3, erase the original number, and write the new number on the whiteboard. When it snows, I multiply the number on the whiteboard by 3/5, and I replace the original number with the new number. It has rained 5 times and snowed 4 times this month. At the end of the month, what number is on the whiteboard?

Answer 1

The answer is  128/1875.

Answer 2

Answer:

128/1875

Step-by-step explanation:

original number = 4

rains 5 time snows 4 times. everytime it rains multiply by 2/3 everytime it snows multiply by 3/5.

rain= 4x(2/3)^5=128/243  snow= 128/243x (3/5)^4 = 128/243x81/625= 128/1875

Then your answer is 128/1875