SOLUTION: Please help me!!The calorie - nutrient information for an apple and an avocado is given in the table. How many of each should be eaten to get exactly 1000 calories and 100 grams o

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Question 317656: Please help me!!The calorie - nutrient information for an apple and an avocado is given in the table. How many of each should be eaten to get exactly 1000 calories and 100 grams of carbohydrates?
One Apple One Avocado
Calories 100 350
Carbohydrates (grams) 24 14
Answer by mananth(16946) About Me  (Show Source):
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Please help me!!The calorie - nutrient information for an apple and an avocado is given in the table. How many of each should be eaten to get exactly 1000 calories and 100 grams of carbohydrates?
One Apple 100 One Avocado 350 calories
One apple 24 One Avocado 14 carbohydrates
let the number of apples to be eaten be x
number of Avocados be y
1..100x+350y = 1000
2..24x+14y=100
multiply eq.2 25 and subtract eq1
600x+350y-100x-350y = 2500-1000
500x=1500
x=3 number of apples to be eaten
plug the value of y in eq2.
72+14y=100
14y=100-72
14y=28
y =2 tne number of Avocados to be eaten