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In Mathematics / Middle School | 2014-09-15

Shirley is going to have the exterior of her home painted. Tim's Painting charges $250 plus $14 per hour. Colorful Prints charges $22 per hour. How many hours would the job need to take for Tim's Painting to be a better deal?

Asked by portiadimarco

Answer (2)

31,25\\\\ \textbf{It\ should\ take\ 32\ or\ more\ hours.}"> x − n u mb er o f h o u rs 250 + 14 x < 22 x ∣ S u b t r a c t 14 x 250 < 22 x − 14 x 250 < 8 x ∣ D i v i d e b y 8 x > 31 , 25 It should take 32 or more hours.

Answered by luana | 2024-06-10

Tim's Painting becomes a better deal than Colorful Prints if the job takes 32 hours or more to complete. The calculation shows that at 31.25 hours, both services cost the same. Therefore, Shirley should consider Tim's Painting if the job requires at least 32 hours.
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Answered by luana | 2024-10-01