SOLUTION: i need help on this word problem. amy is trying to eat a healthier diet. she knows that a carrot has 13 more calories than a stalk of celery and that 5 carrots and 10 celery st

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Question 814652: i need help on this word problem.
amy is trying to eat a healthier diet. she knows that a carrot has 13 more calories than a stalk of celery and that 5 carrots and 10 celery stalks together have only 170 calories. help her find the calories in each food.
thank you : )

Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
c = cal/celery
k = cal/carrot
---
k = c + 13
5k + 10c = 170
---
5k + 10c = 170
5(c + 13) + 10c = 170
5c + 65 + 10c = 170
15c = 105
---
c = celery = 7 cal
k = carrot = 20 cal
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