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
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
3 answers
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
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
Whew !
We agree :)
We agree :)