Math help needed…please help?

Posted on February 23rd, 2010 by admin

I have some word problems that I need help with. I worked them and not sure if they are correct.

a real estate agent lakes a commission of 4% on the value of properties sold. If she sells 3 houses worth $109,000, $129,000 & 165,000 in one month how much is her commission?

Commission = Commission Rate * Merchandise
$16,120 4% 403,000

I multiplied 403,000 by 4% did I set the problem up right?

Larry sold $4,100 worth of stereo equipment during the holiday season and his commission check was for $287.00. What was the commission rate?

I divided the commission check amount of 287.00 by the total amount of equipment sold which was 4,100.

CR = 287.00/4100.00
CR = 8%

Did I calculate this correctly?

Suppose you make purchases with a total retail price of 180.00 and the amount you have to pay is 185.40. Figure the sales tax rate.

I subtracted the total cost of 185.40 by the original price of 180.00 which gave me a difference of 5.40. I then divided 5.40 by the original cost of 180.00 which gave me a tax rate of 3%

TR = 185.40 – 180.00 = 5.40
5.40/180.00 = 0.03 or 3%

Did I calculate this correctly?

The tax rate in Hamilton County is 6% if 7.20 is the tax on a purchase, what is the price of the purchase?

I added the tax of 7.20 by the tax rate of 6% which gave me a total of 7.63 I wasn’t sure how to set up this problem.

The total cost including a 5.5% sale tax on a set of golf clubs was 443.10. figure the retail price of the clubs?

I used this formula: Original Price + Sales Tax = Total Cost

OP + ST = TC
x + 5.5% = 443.10
1x + 5.5% = 443.10
6.5% = 443.10/6.5% = $6816

Not sure if I calculated that right as that 6816 is a HUGE number. I did figure though that 443.10 – 5.5% = 418.73
Did I calculate that correctly?

On real estate commission:
= 0.04($109,000 + $129,000 + $165,000)
= 0.04($403,000)
= $16,120

Answer: You’re right!
—————
Larry’s commission rate:
= 100%($287/$4,100)
= 100%([$287/$41]/[$4,100/$41])
= 100%(7/100)
= 700/100% or 7%

Answer: 7% instead of 8%.
—————
Sales tax rate:
= 100%([$185.40 - $180.00]/$180.00)
= 100%($5.40/$180.00)
= 100%(0.03)
= 3%

Answer: You’re right!
—————
Purchase price:
= $7.20/0.06
= $120.00

Answer: $120.00 is the purchase price.
————–
Retail price of golf clubs:
= $443.10/(1 + 5.5%)
= $443.10/1.055
= $420.00

Answer: $420.00

One Response

  1. Jun Agruda Says:

    On real estate commission:
    = 0.04($109,000 + $129,000 + $165,000)
    = 0.04($403,000)
    = $16,120

    Answer: You’re right!
    —————
    Larry’s commission rate:
    = 100%($287/$4,100)
    = 100%([$287/$41]/[$4,100/$41])
    = 100%(7/100)
    = 700/100% or 7%

    Answer: 7% instead of 8%.
    —————
    Sales tax rate:
    = 100%([$185.40 - $180.00]/$180.00)
    = 100%($5.40/$180.00)
    = 100%(0.03)
    = 3%

    Answer: You’re right!
    —————
    Purchase price:
    = $7.20/0.06
    = $120.00

    Answer: $120.00 is the purchase price.
    ————–
    Retail price of golf clubs:
    = $443.10/(1 + 5.5%)
    = $443.10/1.055
    = $420.00

    Answer: $420.00
    References :

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