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14 September, 05:23

Daniel buys a desk that regularly sells for $250 and a desk chair that regularly sells for $145. Both items are on sale at 15% off, and a sales tax of x% is applied to both. Which expression does not represent the amount Daniel pays?

A. (395) (0.0085x) + 395 (0.85)

B. (0.85+x/100) (250+145)

C. 335.75+3.3575

D. (250+145) (1-0.15) (100+*/100)

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  1. 14 September, 05:47
    0
    Daniel bought a desk which regularly costs $250. It is on sale that is 15% off.

    In decimal 15% = 15/100 = 0.15

    So after sale the selling price is $ (250 * (1-0.15))

    Also x% sales tax applied to it.

    After including sales tax, the price is $ (250 * (1-0.15)) + $ (250 * (1-0.15) * (x/100))

    Now here $ (250 * (1-0.15) is common to both of them. If we take it out we will get $ (250 * (1-0.15) * (1+x/100))

    So Daniel pays $ (250 * (1-0.15) * (1+x/100)) for a desk.

    Daniel also bought a desk chair whose regular selling price is $145. There is 15% off.

    So the price will be $ (145 * (1-0.15))

    There is also x% sales tax. So after sales tax Daniel pays

    $ (145 * (1-0.15)) + $ (145 * (1-0.15) * (x/100)

    = $ (145 * (1-0.15) * (1+x/100))

    So the total amount Daniel pays

    $ (250 * (1-0.15) * (1+x/100)) + $ (145 * (1-0.15) * (1+x/100))

    We can take out (1-0.15) * (1+x/100)

    $ (250+145) * (1-0.15) * (1+x/100) = $ (250+145) * (1-0.15) * (100/100 + x/100)

    =$ (250+145) * (1-0.15) * ((100+x) / 100)

    This is option D. So option D is correct.

    $ (250+145) * (1-0.15) * (1+x/100)

    $395 * (0.85) * (1+x/100)

    $395 * (0.85 + 0.85x/100)

    $395 * (0.85 + 0.0085x)

    $395 (0.85) + $395 (0.0085x)

    This is option A. So option A is also correct.

    We will not get option B and C. So we can say option B and C do not represent the amount that Daniel pays.
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