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

Algebra ->  Inequalities -> 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      Log On


   



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) About Me  (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) About Me  (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?
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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)
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p = 2c + 150
p = 600 + 150
pie = 750 (# of calories in the pie)
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Cheers,
Stan H.
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