SOLUTION: A slice of pie with a scoop of ice cream has 1,050 calories. The calories in the pie alone are 150 more than twice the calories in the ice cream alone. How many calories are in eac

Question 744361: A slice of pie with a scoop of ice cream has 1,050 calories. The calories in the pie alone are 150 more than twice the calories in the ice cream alone. How many calories are in each food?
Found 2 solutions by checkley79, stanbon:
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
P+I=1,050
P=150+2I
(150+2I)+I=1,050
3I=1,050-150
3I=900
I=-900/3
I=300 CALORIES FOR THE ICECREAM.
P=150+2*300
P=150+600
P=750 CALORIES FOR THE PIE.
PROOF:
750+300=1,050
1,050=1,050
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A slice of pie with a scoop of ice cream has 1,050 calories. The calories in the pie alone are 150 more than twice the calories in the ice cream alone. How many calories are in each food?
------------------
Equations:
p + c = 1050 calories
p = 2c + 150
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Substitute for "p" and solve for "c":
2c+150 + c = 1050
3c = 900
c = 300 (# of calories in the ice cream)
-------------------
p = 2c + 150
p = 600 + 150
pie = 750 (# of calories in the pie)
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Cheers,
Stan H.
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