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Math Help - [SOLVED] two basic questions

  1. #1
    asvabsux
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    [SOLVED] two basic questions

    If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?

    Employees of a discount appliance store receive an additional 20% off of the lowest price on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher originally cost $450?
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  2. #2
    Junior Member
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    If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?

    Format for 'working together' problems:
    (time together/time alone) + (time together/time alone) = 1 [whole job]

    x/4 + x/6 = 1 Multiply by common denom (12) to clear the fractions:
    3x + 2x = 12

    Employees of a discount appliance store receive an additional 20% off of the lowest price on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher originally cost $450?
    Full price = 100% Sale price = 100% - 15% = 85%
    450 *.85 = ? [This is the sale price.]
    Multiply the sale price by .80 to find the employee price.

    Here's another way:
    450 * .15 = sale discount 450 - sale discount = sale price.
    Sale price * .20 = employee discount.
    Sale price - employee discount = final price to employee.
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by ctelady
    If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?

    Format for 'working together' problems:
    (time together/time alone) + (time together/time alone) = 1 [whole job]

    x/4 + x/6 = 1 Multiply by common denom (12) to clear the fractions:
    3x + 2x = 12
    Would it not be a better approach to explain why this works?

    RonL
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