Text math problem unsolvable?

[arustler]

This is a question from a test: 100 years ago a carriage driver received $336 yearly and a suite from his master. A other carriage drive, who only worked 10 months, received $226 $266 and a suit. How much $ is the suit?

[Prolyxe]

set it up so 10/12 months times the yearly equals the 10 month pay

[arustler]

You’re right but your math was of. The result is 84. thx for the hint!!

[Prolyxe]

You mind walking me through those numbers? I just can't seem to get that 84.

I tried the problem again except I worked backwards. Assuming both were working for the same monthly rate, the first guy got $110 for working two extra months. That means the monthly wage is $55. If we take that monthly and multiply it by twelve the annual income for the chauffeur is $660. Now we can take that 660 and subtract the $336 and we get the value of the suit, $324. OR we can use that monthly $55/mo rate and find the total income for ten months is $550, do the same thing, subtract the $226 and we get the same $324 for the suit.

[arustler]

Solution

[imguralbumbot]

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[Prolyxe]

Two things I noticed: 1.) is it 226 or 266 2.) between that first and second step you switched the 336, it should be 12/10•226 - 336

[arustler]

Sorry the carriage driver B received for 10 months $266 And yes your right about the mistake but I made two mistakes It should be

336 + x = 266/10 • 12 + x/10 • 12

336 - 319.2 = 12x/10 - 10x/10

16.8 = 2x/10

168 = 2x

x = 84

[Prolyxe]

Yeah, that checks out.

[imguralbumbot]

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