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Three lemon cookies and two fudge cookies have a total of 400 calories. Two lemon cookies and three fudge cookies have a total of 425 calories. How many calories are in each kind of cookie?

User Wuppi
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1 Answer

6 votes

Answer:

lemon cremes contain 70 calories. fudge cookies contains 95 calories

Explanation:

Let x represent the amount of calories in lemon cremes.

Let y represent the amount of calories in fudge cookies.

Three lemon cremes plus two fudge cookies have 400 calories. This means that

3x + 2y = 400 - - - - - -- - - - -1

Two lemon cremes plus three fudge cookies have 425 calories. This means that

2x + 3y = 425- - - - -- - - - - - 2

Multiplying equation 1 by 2 and equation 2 by 3, it becomes

6x + 4y = 800

6x +9y = 1275

Subtracting,

-5y = - 475

y = - 475/- 5

y = 95

Substituting y = 95 into equation 1, it becomes

3x + 2×95 = 400

3x = 400 - 190 = 210

x = 210/3 = 70

x = 70

User Nischalinn
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