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anonymous

  • 5 years ago

there are 3 boats A, B, C. boat B has 15 more rooms than boat A. boat C has 39 fewer than twice the rooms of boat A. there is a total of 388 rooms. how many room do each boat have?

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  1. anonymous
    • 5 years ago
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    Try breaking the paragraph up. Each sentence corresponds to an equation. \[ \text{Let }r_1\text{ be the number of rooms in boat A, etc.} Then use the equations to solve for each r

  2. anonymous
    • 5 years ago
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    bleh. forgot to close my TeX.

  3. anonymous
    • 5 years ago
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    \[ r_1 \text{ is the number of rooms on boat A, etc. }\]

  4. anonymous
    • 5 years ago
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    So for the first sentence: "Boat B has 15 more rooms than boat A." What would the equation representing this statement look like?

  5. anonymous
    • 5 years ago
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    b+15=a

  6. anonymous
    • 5 years ago
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    Very nearly. From your equation which boat has the greater number of rooms? And does that coincide with the information presented in the statement?

  7. anonymous
    • 5 years ago
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    from what i under stand: A=? B=15+A C=2A-39

  8. anonymous
    • 5 years ago
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    Yes, that's it exactly. Now we know one more thing which is that there is a total of 388 rooms. So write the equation for that statement.

  9. anonymous
    • 5 years ago
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    The last equation would be ?

  10. anonymous
    • 5 years ago
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    A+B+C=388

  11. anonymous
    • 5 years ago
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    sorry had to step away real quick

  12. anonymous
    • 5 years ago
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    Right. So now take what you know about C and B and replace those variables with expressions that have A instead.

  13. anonymous
    • 5 years ago
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    A+15+A+2A-39=388

  14. anonymous
    • 5 years ago
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    Yep. Then solve for A.

  15. anonymous
    • 5 years ago
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    Once you know A, you can go back to the equations for B and C to find what those are.

  16. anonymous
    • 5 years ago
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    i got it from here thanks a lot!

  17. anonymous
    • 5 years ago
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    Certainly. Just remember that each sentence is telling you something. Typically it translates directly into an equation, and by using all your equations you can do substitution to solve for one of your variables. Then once you have one you can find the others.

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