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half a pepperoni pizza plus three fourths 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 each kind of pizza?

Respuesta :

MissPhiladelphia
Let x be the number of calories in the pepperoni pizza and y be the number of calories in ham-and-pineapple pizza. Then, we can make two equations out of the problem statement.

Eq 1: (1/2)x + (3/4)y = 765
Eq 2: (1/4)x + y = 745

By transposing, Eq 2 becomes: y = 745 - (1/4)x. We substitute this to Eq. 1:

(1/2)x + (3/4)(745 - (1/4)x) = 765
x = 660

Then we substitute x to Eq 2 to get y:
y = 580

Thus, there is 660 calories in pepperoni pizza and 580 calories in ham-and-pineapple pizza.
Revena31

1. D (4,5)                        

2. C

3. D

4. A

5. C

6. D

7. B

8. C

9. A

10. B

OR

1. B (2,6)

2. A

3. A

4. C

5. D

6. A

7. A

8. B

9. C

10. A

Don't deny it, you came here for the answers ;)

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