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MATH / The number 4 is written on my whiteboard. Every time it rains, I multiply the…

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problem

The number 4 is written on my whiteboard. Every time it rains, I multiply the number on the whiteboard by 23\frac{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 35\frac{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?
Plain-text mathematical notation (without MathML)
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?
Original LaTeX notation
The number 4 is written on my whiteboard. Every time it rains, I multiply the number on the whiteboard by $\frac{2}{3}$, erase the original number, and write the new number on the whiteboard. When it snows, I multiply the number on the whiteboard by $\frac{3}{5}$, 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?

level

Level 5

type

Prealgebra

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Source and history

task_id
bebc99cd-a282-5aa9-b563-749c6d0a6460
task_key
prealgebra--test--bebc99cd-a282-5aa9-b563-749c6d0a6460
task_revision_id
1
config / split
prealgebra / test

Official source

initial import