# 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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2. 👎
👤
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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2. 👎
👤
Damon

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