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MATH / A street has 50 houses on each side, for a total of 100 houses. The addresses on…

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problem

A street has 50 houses on each side, for a total of 100 houses. The addresses on the south side of the street form an arithmetic sequence, as do the addresses on the north side of the street. On the south side, the addresses are 1, 5, 9, etc., and on the north side they are 3, 7, 11, etc. A sign painter paints house numbers on a house for $1\$1 per digit. If he paints the appropriate house number once on each of these 100 houses, how much does he earn?
Plain-text mathematical notation (without MathML)
A street has 50 houses on each side, for a total of 100 houses. The addresses on the south side of the street form an arithmetic sequence, as do the addresses on the north side of the street. On the south side, the addresses are 1, 5, 9, etc., and on the north side they are 3, 7, 11, etc. A sign painter paints house numbers on a house for $1 per digit. If he paints the appropriate house number once on each of these 100 houses, how much does he earn?
Original LaTeX notation
A street has 50 houses on each side, for a total of 100 houses. The addresses on the south side of the street form an arithmetic sequence, as do the addresses on the north side of the street. On the south side, the addresses are 1, 5, 9, etc., and on the north side they are 3, 7, 11, etc. A sign painter paints house numbers on a house for $\$1$ per digit. If he paints the appropriate house number once on each of these 100 houses, how much does he earn?

level

Level 4

type

Counting & Probability

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Source and history

task_id
5a290b6e-a75d-5c0f-855a-32a570e00762
task_key
counting~5fand~5fprobability--test--5a290b6e-a75d-5c0f-855a-32a570e00762
task_revision_id
1
config / split
counting_and_probability / test

Official source

initial import