algebra

6. Half a pepperoni pizza plus three fourths of a ham-and-pineapple pizza contains 765 Calories. One fourth
of a pepperoni pizza plus a whole ham-and-pineapple pizza contains 745 Calories. How many Calories
are in a whole pepperoni pizza? How many Calories are in a whole ham-and-pineapple pizza?
(1 point)
600 Calories, 550 Calories
480 Calories, 640 Calories
520 Calories, 680 Calories
660 Calories, 580 Calories

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  1. 0.5 P + 0.75 H = 765
    0.25 P + 1.0 H = 745 multiply this by 2

    0.5 P + 0.75 H = 765
    0.5 P + 2.0 H = 1490
    _____________________ subtract
    0 P - 1.25 H = - 725
    H = 580
    0.5 P + 2.0 (580) = 1490
    P = 660

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    Damon
  2. Translate the English to Math
    Pepperoni pizza --- p
    ham-pineapple ---- h

    "Half a pepperoni pizza plus three fourths of a ham-and-pineapple pizza contains 765 Calories"
    ----> (1/2)p + (3/4)h = 765
    2p + 3h = 3060 **

    "One fourth
    of a pepperoni pizza plus a whole ham-and-pineapple pizza contains 745 Calories"
    ---> (1/4)p + h = 745
    p + 4h = 2980 or p = 2980-4h ***

    sub into **
    2(2980-4h) + 3h = 3060
    5960 - 8h + 3h = 3060
    -5h = -2900
    h = 580
    sub into *** to find the number of calories in the other pizza

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    Reiny
  3. Whew !
    We agree :)

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    Damon

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