SOLUTION: One serving (1/2 cup) of cooked peas contains 45 more Calories than one serving of cooked carrots and 50 more Calories than one serving of cooked green beans. If one serving of car

Algebra ->  Equations -> SOLUTION: One serving (1/2 cup) of cooked peas contains 45 more Calories than one serving of cooked carrots and 50 more Calories than one serving of cooked green beans. If one serving of car      Log On


   

Question 108328This question is from textbook Algebra Structure and Method
: One serving (1/2 cup) of cooked peas contains 45 more Calories than one serving of cooked carrots and 50 more Calories than one serving of cooked green beans. If one serving of carrots and three servings of green beans contain the same number of Calories as one serving of peas, how many Calories are there in one serving of peas? This question is from textbook Algebra Structure and Method

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
One serving (1/2 cup) of cooked peas contains 45 more Calories than one serving of cooked carrots and 50 more Calories than one serving of cooked green beans. If one serving of carrots and three servings of green beans contain the same number of Calories as one serving of peas, how many Calories are there in one serving of peas?
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One-serving DATA:
Let # of calories in cooked peas is "x"
Then # of calories in cooked carrots be "x-45".
And # of calories in green beans is "x-50"
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EQUATION:
carrots + 3*beans = peas
x-45 + 3*(x-50) = x
4x - 195 = x
3x = 195
x = 65 calories (# of calories in one serving of peas)
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Cheers,
Stan H.