Question

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 ?

Answer 1

580 Calories

Answer 2

for the whole ham and pinapple pizza

Answer 3

Okay, but I want to know how to fully solve the problem with the equation and all. That way I know how to solve problems like this.

Answer 4

But thank you. That does help.

Answer 5

(1/2)P + (3/4)H = 765 [Half a pepperoni pizza plus three fourths of a ham and pineapple pizza contains 765 calories]

(1/4)P + H = 745 [One fourth of a pepperoni pizza plus a whole ham and pineapple pizza contains 745 calories]

Multiply through the second equation by 2 to match the P coefficients:

2 * [(1/4)P + H = 745] ===> (1/2)P + 2H = 1490

Subtract the first equation from that:

(1/2)P + 2H = 1490
-[(1/2)P + (3/4)H = 765]
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(5/4)H = 725

Multiply both sides by 4/5:

H = 725 * (4/5) = 580


The ham and pineapple pizza is 580 calories. Substitute that for H in either original equation to find P.

Answer 6

OH!!!!! Thanks! That makes sense. I get confused with fractions and I think it really through me off. Thanks again.

Answer 7

u welcome